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Simplifying 10(6x + 12) = 12(1 + 2x) Reorder the terms: 10(12 + 6x) = 12(1 + 2x) (12 * 10 + 6x * 10) = 12(1 + 2x) (120 + 60x) = 12(1 + 2x) 120 + 60x = (1 * 12 + 2x * 12) 120 + 60x = (12 + 24x) Solving 120 + 60x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 120 + 60x + -24x = 12 + 24x + -24x Combine like terms: 60x + -24x = 36x 120 + 36x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 120 + 36x = 12 + 0 120 + 36x = 12 Add '-120' to each side of the equation. 120 + -120 + 36x = 12 + -120 Combine like terms: 120 + -120 = 0 0 + 36x = 12 + -120 36x = 12 + -120 Combine like terms: 12 + -120 = -108 36x = -108 Divide each side by '36'. x = -3 Simplifying x = -3
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