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Simplifying -10(2x + 12) = -8(x + -9) Reorder the terms: -10(12 + 2x) = -8(x + -9) (12 * -10 + 2x * -10) = -8(x + -9) (-120 + -20x) = -8(x + -9) Reorder the terms: -120 + -20x = -8(-9 + x) -120 + -20x = (-9 * -8 + x * -8) -120 + -20x = (72 + -8x) Solving -120 + -20x = 72 + -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. -120 + -20x + 8x = 72 + -8x + 8x Combine like terms: -20x + 8x = -12x -120 + -12x = 72 + -8x + 8x Combine like terms: -8x + 8x = 0 -120 + -12x = 72 + 0 -120 + -12x = 72 Add '120' to each side of the equation. -120 + 120 + -12x = 72 + 120 Combine like terms: -120 + 120 = 0 0 + -12x = 72 + 120 -12x = 72 + 120 Combine like terms: 72 + 120 = 192 -12x = 192 Divide each side by '-12'. x = -16 Simplifying x = -16
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