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Simplifying 4x + -2(1 + -3x) = 3 + -1(2x + -1) 4x + (1 * -2 + -3x * -2) = 3 + -1(2x + -1) 4x + (-2 + 6x) = 3 + -1(2x + -1) Reorder the terms: -2 + 4x + 6x = 3 + -1(2x + -1) Combine like terms: 4x + 6x = 10x -2 + 10x = 3 + -1(2x + -1) Reorder the terms: -2 + 10x = 3 + -1(-1 + 2x) -2 + 10x = 3 + (-1 * -1 + 2x * -1) -2 + 10x = 3 + (1 + -2x) Combine like terms: 3 + 1 = 4 -2 + 10x = 4 + -2x Solving -2 + 10x = 4 + -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. -2 + 10x + 2x = 4 + -2x + 2x Combine like terms: 10x + 2x = 12x -2 + 12x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 12x = 4 + 0 -2 + 12x = 4 Add '2' to each side of the equation. -2 + 2 + 12x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 4 + 2 12x = 4 + 2 Combine like terms: 4 + 2 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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