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Simplifying 12(x + -8) = 9(x + -5) Reorder the terms: 12(-8 + x) = 9(x + -5) (-8 * 12 + x * 12) = 9(x + -5) (-96 + 12x) = 9(x + -5) Reorder the terms: -96 + 12x = 9(-5 + x) -96 + 12x = (-5 * 9 + x * 9) -96 + 12x = (-45 + 9x) Solving -96 + 12x = -45 + 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. -96 + 12x + -9x = -45 + 9x + -9x Combine like terms: 12x + -9x = 3x -96 + 3x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -96 + 3x = -45 + 0 -96 + 3x = -45 Add '96' to each side of the equation. -96 + 96 + 3x = -45 + 96 Combine like terms: -96 + 96 = 0 0 + 3x = -45 + 96 3x = -45 + 96 Combine like terms: -45 + 96 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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