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Simplifying (1 + -2x) = -2 + -1(3 + x) Remove parenthesis around (1 + -2x) 1 + -2x = -2 + -1(3 + x) 1 + -2x = -2 + (3 * -1 + x * -1) 1 + -2x = -2 + (-3 + -1x) Combine like terms: -2 + -3 = -5 1 + -2x = -5 + -1x Solving 1 + -2x = -5 + -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 = -5 + -1x + x Combine like terms: -2x + x = -1x 1 + -1x = -5 + -1x + x Combine like terms: -1x + x = 0 1 + -1x = -5 + 0 1 + -1x = -5 Add '-1' to each side of the equation. 1 + -1 + -1x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -5 + -1 -1x = -5 + -1 Combine like terms: -5 + -1 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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