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Simplifying 2(x + 3) + -3(x + -1) = 3x + -2(2 + x) Reorder the terms: 2(3 + x) + -3(x + -1) = 3x + -2(2 + x) (3 * 2 + x * 2) + -3(x + -1) = 3x + -2(2 + x) (6 + 2x) + -3(x + -1) = 3x + -2(2 + x) Reorder the terms: 6 + 2x + -3(-1 + x) = 3x + -2(2 + x) 6 + 2x + (-1 * -3 + x * -3) = 3x + -2(2 + x) 6 + 2x + (3 + -3x) = 3x + -2(2 + x) Reorder the terms: 6 + 3 + 2x + -3x = 3x + -2(2 + x) Combine like terms: 6 + 3 = 9 9 + 2x + -3x = 3x + -2(2 + x) Combine like terms: 2x + -3x = -1x 9 + -1x = 3x + -2(2 + x) 9 + -1x = 3x + (2 * -2 + x * -2) 9 + -1x = 3x + (-4 + -2x) Reorder the terms: 9 + -1x = -4 + 3x + -2x Combine like terms: 3x + -2x = 1x 9 + -1x = -4 + 1x Solving 9 + -1x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + -1x + -1x = -4 + 1x + -1x Combine like terms: -1x + -1x = -2x 9 + -2x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 9 + -2x = -4 + 0 9 + -2x = -4 Add '-9' to each side of the equation. 9 + -9 + -2x = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -4 + -9 -2x = -4 + -9 Combine like terms: -4 + -9 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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