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Simplifying 4(3 + -2x) = 5(3 + 4x) (3 * 4 + -2x * 4) = 5(3 + 4x) (12 + -8x) = 5(3 + 4x) 12 + -8x = (3 * 5 + 4x * 5) 12 + -8x = (15 + 20x) Solving 12 + -8x = 15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + -8x + -20x = 15 + 20x + -20x Combine like terms: -8x + -20x = -28x 12 + -28x = 15 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -28x = 15 + 0 12 + -28x = 15 Add '-12' to each side of the equation. 12 + -12 + -28x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -28x = 15 + -12 -28x = 15 + -12 Combine like terms: 15 + -12 = 3 -28x = 3 Divide each side by '-28'. x = -0.1071428571 Simplifying x = -0.1071428571
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