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Simplifying (2 + -4x) + -1(1 + -2x) = 2 + -3x Remove parenthesis around (2 + -4x) 2 + -4x + -1(1 + -2x) = 2 + -3x 2 + -4x + (1 * -1 + -2x * -1) = 2 + -3x 2 + -4x + (-1 + 2x) = 2 + -3x Reorder the terms: 2 + -1 + -4x + 2x = 2 + -3x Combine like terms: 2 + -1 = 1 1 + -4x + 2x = 2 + -3x Combine like terms: -4x + 2x = -2x 1 + -2x = 2 + -3x Solving 1 + -2x = 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. 1 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x 1 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 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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