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Simplifying (x + -2) + -2(x + -3) = 2x + -5 Reorder the terms: (-2 + x) + -2(x + -3) = 2x + -5 Remove parenthesis around (-2 + x) -2 + x + -2(x + -3) = 2x + -5 Reorder the terms: -2 + x + -2(-3 + x) = 2x + -5 -2 + x + (-3 * -2 + x * -2) = 2x + -5 -2 + x + (6 + -2x) = 2x + -5 Reorder the terms: -2 + 6 + x + -2x = 2x + -5 Combine like terms: -2 + 6 = 4 4 + x + -2x = 2x + -5 Combine like terms: x + -2x = -1x 4 + -1x = 2x + -5 Reorder the terms: 4 + -1x = -5 + 2x Solving 4 + -1x = -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. 4 + -1x + -2x = -5 + 2x + -2x Combine like terms: -1x + -2x = -3x 4 + -3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -3x = -5 + 0 4 + -3x = -5 Add '-4' to each side of the equation. 4 + -4 + -3x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -5 + -4 -3x = -5 + -4 Combine like terms: -5 + -4 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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