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Simplifying
(9 + 7) * 7 = (6x + 8x) * 8x
Combine like terms: 9 + 7 = 16
(16) * 7 = (6x + 8x) * 8x
Multiply 16 * 7
112 = (6x + 8x) * 8x
Combine like terms: 6x + 8x = 14x
112 = (14x) * 8x
Remove parenthesis around (14x)
112 = 14x * 8x
Reorder the terms for easier multiplication:
112 = 14 * 8x * x
Multiply 14 * 8
112 = 112x * x
Multiply x * x
112 = 112x2
Solving
112 = 112x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-112x2' to each side of the equation.
112 + -112x2 = 112x2 + -112x2
Combine like terms: 112x2 + -112x2 = 0
112 + -112x2 = 0
Add '-112' to each side of the equation.
112 + -112 + -112x2 = 0 + -112
Combine like terms: 112 + -112 = 0
0 + -112x2 = 0 + -112
-112x2 = 0 + -112
Combine like terms: 0 + -112 = -112
-112x2 = -112
Divide each side by '-112'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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