Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 23, 2024

Find the sum of the expressions $7x + 7$ and $3 - 3x$ .

STEP 1

Assumptions
1. We are given a sum of two expressions: $(7x + 7)$ and $(3 - 3x)$ .
2. We need to simplify the sum by combining like terms.

STEP 2

Write down the given sum.
$(7x + 7) + (3 - 3x)$

STEP 3

Remove the parentheses since they are not necessary for addition.
$7x + 7 + 3 - 3x$

STEP 4

Combine like terms. Like terms are terms that contain the same variable raised to the same power.

STEP 5

Identify the like terms for the variable $x$ .
$7x \text{ and } -3x$

STEP 6

Combine the like terms for $x$ .
$7x - 3x = 4x$

STEP 7

Identify the constant terms.
$7 \text{ and } 3$

STEP 8

Combine the constant terms.
$7 + 3 = 10$

STEP 9

Write the simplified expression by combining the results from steps 6 and 8.
$4x + 10$
The sum of the given expressions is $4x + 10$ .

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