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Simplifying 5(8x + 12) = 2(12x + 36) Reorder the terms: 5(12 + 8x) = 2(12x + 36) (12 * 5 + 8x * 5) = 2(12x + 36) (60 + 40x) = 2(12x + 36) Reorder the terms: 60 + 40x = 2(36 + 12x) 60 + 40x = (36 * 2 + 12x * 2) 60 + 40x = (72 + 24x) Solving 60 + 40x = 72 + 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. 60 + 40x + -24x = 72 + 24x + -24x Combine like terms: 40x + -24x = 16x 60 + 16x = 72 + 24x + -24x Combine like terms: 24x + -24x = 0 60 + 16x = 72 + 0 60 + 16x = 72 Add '-60' to each side of the equation. 60 + -60 + 16x = 72 + -60 Combine like terms: 60 + -60 = 0 0 + 16x = 72 + -60 16x = 72 + -60 Combine like terms: 72 + -60 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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