Question

5x – 7(x + 1) > –9 + 3

Answer 1

" Simplifying
5x + -7(x + 1) = -9 + 3

Reorder the terms:
5x + -7(1 + x) = -9 + 3
5x + (1 * -7 + x * -7) = -9 + 3
5x + (-7 + -7x) = -9 + 3

Reorder the terms:
-7 + 5x + -7x = -9 + 3

Combine like terms: 5x + -7x = -2x
-7 + -2x = -9 + 3

Combine like terms: -9 + 3 = -6
-7 + -2x = -6

Solving
-7 + -2x = -6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -2x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -6 + 7
-2x = -6 + 7

Combine like terms: -6 + 7 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5 "

Answer 2

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