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