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Simplifying 9(x + -9) = -3(x + -5) Reorder the terms: 9(-9 + x) = -3(x + -5) (-9 * 9 + x * 9) = -3(x + -5) (-81 + 9x) = -3(x + -5) Reorder the terms: -81 + 9x = -3(-5 + x) -81 + 9x = (-5 * -3 + x * -3) -81 + 9x = (15 + -3x) Solving -81 + 9x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -81 + 9x + 3x = 15 + -3x + 3x Combine like terms: 9x + 3x = 12x -81 + 12x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -81 + 12x = 15 + 0 -81 + 12x = 15 Add '81' to each side of the equation. -81 + 81 + 12x = 15 + 81 Combine like terms: -81 + 81 = 0 0 + 12x = 15 + 81 12x = 15 + 81 Combine like terms: 15 + 81 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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