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