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Simplifying 2(x + 3) + -3(x + -1) = 5 Reorder the terms: 2(3 + x) + -3(x + -1) = 5 (3 * 2 + x * 2) + -3(x + -1) = 5 (6 + 2x) + -3(x + -1) = 5 Reorder the terms: 6 + 2x + -3(-1 + x) = 5 6 + 2x + (-1 * -3 + x * -3) = 5 6 + 2x + (3 + -3x) = 5 Reorder the terms: 6 + 3 + 2x + -3x = 5 Combine like terms: 6 + 3 = 9 9 + 2x + -3x = 5 Combine like terms: 2x + -3x = -1x 9 + -1x = 5 Solving 9 + -1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 5 + -9 -1x = 5 + -9 Combine like terms: 5 + -9 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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