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Simplifying 3(2 + -4x) = 5(1 + -4x) (2 * 3 + -4x * 3) = 5(1 + -4x) (6 + -12x) = 5(1 + -4x) 6 + -12x = (1 * 5 + -4x * 5) 6 + -12x = (5 + -20x) Solving 6 + -12x = 5 + -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. 6 + -12x + 20x = 5 + -20x + 20x Combine like terms: -12x + 20x = 8x 6 + 8x = 5 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 8x = 5 + 0 6 + 8x = 5 Add '-6' to each side of the equation. 6 + -6 + 8x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 5 + -6 8x = 5 + -6 Combine like terms: 5 + -6 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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