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Simplifying 3(40x + 16) = 12(5x + 14) Reorder the terms: 3(16 + 40x) = 12(5x + 14) (16 * 3 + 40x * 3) = 12(5x + 14) (48 + 120x) = 12(5x + 14) Reorder the terms: 48 + 120x = 12(14 + 5x) 48 + 120x = (14 * 12 + 5x * 12) 48 + 120x = (168 + 60x) Solving 48 + 120x = 168 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 48 + 120x + -60x = 168 + 60x + -60x Combine like terms: 120x + -60x = 60x 48 + 60x = 168 + 60x + -60x Combine like terms: 60x + -60x = 0 48 + 60x = 168 + 0 48 + 60x = 168 Add '-48' to each side of the equation. 48 + -48 + 60x = 168 + -48 Combine like terms: 48 + -48 = 0 0 + 60x = 168 + -48 60x = 168 + -48 Combine like terms: 168 + -48 = 120 60x = 120 Divide each side by '60'. x = 2 Simplifying x = 2
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