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Simplifying 8(x + -3) = 9(x + 12) Reorder the terms: 8(-3 + x) = 9(x + 12) (-3 * 8 + x * 8) = 9(x + 12) (-24 + 8x) = 9(x + 12) Reorder the terms: -24 + 8x = 9(12 + x) -24 + 8x = (12 * 9 + x * 9) -24 + 8x = (108 + 9x) Solving -24 + 8x = 108 + 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. -24 + 8x + -9x = 108 + 9x + -9x Combine like terms: 8x + -9x = -1x -24 + -1x = 108 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + -1x = 108 + 0 -24 + -1x = 108 Add '24' to each side of the equation. -24 + 24 + -1x = 108 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 108 + 24 -1x = 108 + 24 Combine like terms: 108 + 24 = 132 -1x = 132 Divide each side by '-1'. x = -132 Simplifying x = -132
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