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Simplifying 9 + -1(x + 8) = 8x + 64 Reorder the terms: 9 + -1(8 + x) = 8x + 64 9 + (8 * -1 + x * -1) = 8x + 64 9 + (-8 + -1x) = 8x + 64 Combine like terms: 9 + -8 = 1 1 + -1x = 8x + 64 Reorder the terms: 1 + -1x = 64 + 8x Solving 1 + -1x = 64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -1x + -8x = 64 + 8x + -8x Combine like terms: -1x + -8x = -9x 1 + -9x = 64 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -9x = 64 + 0 1 + -9x = 64 Add '-1' to each side of the equation. 1 + -1 + -9x = 64 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 64 + -1 -9x = 64 + -1 Combine like terms: 64 + -1 = 63 -9x = 63 Divide each side by '-9'. x = -7 Simplifying x = -7
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