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Simplifying (3 + -1x) + -1(2 + -1x) = 2x + -5 Remove parenthesis around (3 + -1x) 3 + -1x + -1(2 + -1x) = 2x + -5 3 + -1x + (2 * -1 + -1x * -1) = 2x + -5 3 + -1x + (-2 + 1x) = 2x + -5 Reorder the terms: 3 + -2 + -1x + 1x = 2x + -5 Combine like terms: 3 + -2 = 1 1 + -1x + 1x = 2x + -5 Combine like terms: -1x + 1x = 0 1 + 0 = 2x + -5 1 = 2x + -5 Reorder the terms: 1 = -5 + 2x Solving 1 = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -2x = -5 + 0 1 + -2x = -5 Add '-1' to each side of the equation. 1 + -1 + -2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -5 + -1 -2x = -5 + -1 Combine like terms: -5 + -1 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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