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Simplifying 20(3x + -6) = 24(2x + 4) Reorder the terms: 20(-6 + 3x) = 24(2x + 4) (-6 * 20 + 3x * 20) = 24(2x + 4) (-120 + 60x) = 24(2x + 4) Reorder the terms: -120 + 60x = 24(4 + 2x) -120 + 60x = (4 * 24 + 2x * 24) -120 + 60x = (96 + 48x) Solving -120 + 60x = 96 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -120 + 60x + -48x = 96 + 48x + -48x Combine like terms: 60x + -48x = 12x -120 + 12x = 96 + 48x + -48x Combine like terms: 48x + -48x = 0 -120 + 12x = 96 + 0 -120 + 12x = 96 Add '120' to each side of the equation. -120 + 120 + 12x = 96 + 120 Combine like terms: -120 + 120 = 0 0 + 12x = 96 + 120 12x = 96 + 120 Combine like terms: 96 + 120 = 216 12x = 216 Divide each side by '12'. x = 18 Simplifying x = 18
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