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Simplifying 3(1 + 4x) = 2(x + -1) (1 * 3 + 4x * 3) = 2(x + -1) (3 + 12x) = 2(x + -1) Reorder the terms: 3 + 12x = 2(-1 + x) 3 + 12x = (-1 * 2 + x * 2) 3 + 12x = (-2 + 2x) Solving 3 + 12x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 12x + -2x = -2 + 2x + -2x Combine like terms: 12x + -2x = 10x 3 + 10x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 10x = -2 + 0 3 + 10x = -2 Add '-3' to each side of the equation. 3 + -3 + 10x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = -2 + -3 10x = -2 + -3 Combine like terms: -2 + -3 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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