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