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Simplifying 10(9x + -9) = 10(12x + -12) Reorder the terms: 10(-9 + 9x) = 10(12x + -12) (-9 * 10 + 9x * 10) = 10(12x + -12) (-90 + 90x) = 10(12x + -12) Reorder the terms: -90 + 90x = 10(-12 + 12x) -90 + 90x = (-12 * 10 + 12x * 10) -90 + 90x = (-120 + 120x) Solving -90 + 90x = -120 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. -90 + 90x + -120x = -120 + 120x + -120x Combine like terms: 90x + -120x = -30x -90 + -30x = -120 + 120x + -120x Combine like terms: 120x + -120x = 0 -90 + -30x = -120 + 0 -90 + -30x = -120 Add '90' to each side of the equation. -90 + 90 + -30x = -120 + 90 Combine like terms: -90 + 90 = 0 0 + -30x = -120 + 90 -30x = -120 + 90 Combine like terms: -120 + 90 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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