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Simplifying 8(x + -8) = 82 + -1(x + -9) Reorder the terms: 8(-8 + x) = 82 + -1(x + -9) (-8 * 8 + x * 8) = 82 + -1(x + -9) (-64 + 8x) = 82 + -1(x + -9) Reorder the terms: -64 + 8x = 82 + -1(-9 + x) -64 + 8x = 82 + (-9 * -1 + x * -1) -64 + 8x = 82 + (9 + -1x) Combine like terms: 82 + 9 = 91 -64 + 8x = 91 + -1x Solving -64 + 8x = 91 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -64 + 8x + x = 91 + -1x + x Combine like terms: 8x + x = 9x -64 + 9x = 91 + -1x + x Combine like terms: -1x + x = 0 -64 + 9x = 91 + 0 -64 + 9x = 91 Add '64' to each side of the equation. -64 + 64 + 9x = 91 + 64 Combine like terms: -64 + 64 = 0 0 + 9x = 91 + 64 9x = 91 + 64 Combine like terms: 91 + 64 = 155 9x = 155 Divide each side by '9'. x = 17.22222222 Simplifying x = 17.22222222
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