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Simplifying 8 + 7(x + -8) = 8 + -9(x + -8) Reorder the terms: 8 + 7(-8 + x) = 8 + -9(x + -8) 8 + (-8 * 7 + x * 7) = 8 + -9(x + -8) 8 + (-56 + 7x) = 8 + -9(x + -8) Combine like terms: 8 + -56 = -48 -48 + 7x = 8 + -9(x + -8) Reorder the terms: -48 + 7x = 8 + -9(-8 + x) -48 + 7x = 8 + (-8 * -9 + x * -9) -48 + 7x = 8 + (72 + -9x) Combine like terms: 8 + 72 = 80 -48 + 7x = 80 + -9x Solving -48 + 7x = 80 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -48 + 7x + 9x = 80 + -9x + 9x Combine like terms: 7x + 9x = 16x -48 + 16x = 80 + -9x + 9x Combine like terms: -9x + 9x = 0 -48 + 16x = 80 + 0 -48 + 16x = 80 Add '48' to each side of the equation. -48 + 48 + 16x = 80 + 48 Combine like terms: -48 + 48 = 0 0 + 16x = 80 + 48 16x = 80 + 48 Combine like terms: 80 + 48 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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