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