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Simplifying 3(4x + -1) = 2(1 + x) Reorder the terms: 3(-1 + 4x) = 2(1 + x) (-1 * 3 + 4x * 3) = 2(1 + x) (-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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