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Simplifying 3(4x + 1) = 2(5x + -7) Reorder the terms: 3(1 + 4x) = 2(5x + -7) (1 * 3 + 4x * 3) = 2(5x + -7) (3 + 12x) = 2(5x + -7) Reorder the terms: 3 + 12x = 2(-7 + 5x) 3 + 12x = (-7 * 2 + 5x * 2) 3 + 12x = (-14 + 10x) Solving 3 + 12x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 12x + -10x = -14 + 10x + -10x Combine like terms: 12x + -10x = 2x 3 + 2x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 2x = -14 + 0 3 + 2x = -14 Add '-3' to each side of the equation. 3 + -3 + 2x = -14 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -14 + -3 2x = -14 + -3 Combine like terms: -14 + -3 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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