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Simplifying 2(x + 2) + -3(x + -1) = 2(2 + -1x) Reorder the terms: 2(2 + x) + -3(x + -1) = 2(2 + -1x) (2 * 2 + x * 2) + -3(x + -1) = 2(2 + -1x) (4 + 2x) + -3(x + -1) = 2(2 + -1x) Reorder the terms: 4 + 2x + -3(-1 + x) = 2(2 + -1x) 4 + 2x + (-1 * -3 + x * -3) = 2(2 + -1x) 4 + 2x + (3 + -3x) = 2(2 + -1x) Reorder the terms: 4 + 3 + 2x + -3x = 2(2 + -1x) Combine like terms: 4 + 3 = 7 7 + 2x + -3x = 2(2 + -1x) Combine like terms: 2x + -3x = -1x 7 + -1x = 2(2 + -1x) 7 + -1x = (2 * 2 + -1x * 2) 7 + -1x = (4 + -2x) Solving 7 + -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. 7 + -1x + 2x = 4 + -2x + 2x Combine like terms: -1x + 2x = 1x 7 + 1x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 1x = 4 + 0 7 + 1x = 4 Add '-7' to each side of the equation. 7 + -7 + 1x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 4 + -7 1x = 4 + -7 Combine like terms: 4 + -7 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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