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