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Simplifying 2(x + 3) + -3(x + 5) = 13 Reorder the terms: 2(3 + x) + -3(x + 5) = 13 (3 * 2 + x * 2) + -3(x + 5) = 13 (6 + 2x) + -3(x + 5) = 13 Reorder the terms: 6 + 2x + -3(5 + x) = 13 6 + 2x + (5 * -3 + x * -3) = 13 6 + 2x + (-15 + -3x) = 13 Reorder the terms: 6 + -15 + 2x + -3x = 13 Combine like terms: 6 + -15 = -9 -9 + 2x + -3x = 13 Combine like terms: 2x + -3x = -1x -9 + -1x = 13 Solving -9 + -1x = 13 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 = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 13 + 9 -1x = 13 + 9 Combine like terms: 13 + 9 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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