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Simplifying -9(-9x + 12) + 9(x + -4) = -9(-9x + -16) + 7(x + -8) Reorder the terms: -9(12 + -9x) + 9(x + -4) = -9(-9x + -16) + 7(x + -8) (12 * -9 + -9x * -9) + 9(x + -4) = -9(-9x + -16) + 7(x + -8) (-108 + 81x) + 9(x + -4) = -9(-9x + -16) + 7(x + -8) Reorder the terms: -108 + 81x + 9(-4 + x) = -9(-9x + -16) + 7(x + -8) -108 + 81x + (-4 * 9 + x * 9) = -9(-9x + -16) + 7(x + -8) -108 + 81x + (-36 + 9x) = -9(-9x + -16) + 7(x + -8) Reorder the terms: -108 + -36 + 81x + 9x = -9(-9x + -16) + 7(x + -8) Combine like terms: -108 + -36 = -144 -144 + 81x + 9x = -9(-9x + -16) + 7(x + -8) Combine like terms: 81x + 9x = 90x -144 + 90x = -9(-9x + -16) + 7(x + -8) Reorder the terms: -144 + 90x = -9(-16 + -9x) + 7(x + -8) -144 + 90x = (-16 * -9 + -9x * -9) + 7(x + -8) -144 + 90x = (144 + 81x) + 7(x + -8) Reorder the terms: -144 + 90x = 144 + 81x + 7(-8 + x) -144 + 90x = 144 + 81x + (-8 * 7 + x * 7) -144 + 90x = 144 + 81x + (-56 + 7x) Reorder the terms: -144 + 90x = 144 + -56 + 81x + 7x Combine like terms: 144 + -56 = 88 -144 + 90x = 88 + 81x + 7x Combine like terms: 81x + 7x = 88x -144 + 90x = 88 + 88x Solving -144 + 90x = 88 + 88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88x' to each side of the equation. -144 + 90x + -88x = 88 + 88x + -88x Combine like terms: 90x + -88x = 2x -144 + 2x = 88 + 88x + -88x Combine like terms: 88x + -88x = 0 -144 + 2x = 88 + 0 -144 + 2x = 88 Add '144' to each side of the equation. -144 + 144 + 2x = 88 + 144 Combine like terms: -144 + 144 = 0 0 + 2x = 88 + 144 2x = 88 + 144 Combine like terms: 88 + 144 = 232 2x = 232 Divide each side by '2'. x = 116 Simplifying x = 116
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