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Simplifying 3(x + 7) + -1(2x + -5) = 13 Reorder the terms: 3(7 + x) + -1(2x + -5) = 13 (7 * 3 + x * 3) + -1(2x + -5) = 13 (21 + 3x) + -1(2x + -5) = 13 Reorder the terms: 21 + 3x + -1(-5 + 2x) = 13 21 + 3x + (-5 * -1 + 2x * -1) = 13 21 + 3x + (5 + -2x) = 13 Reorder the terms: 21 + 5 + 3x + -2x = 13 Combine like terms: 21 + 5 = 26 26 + 3x + -2x = 13 Combine like terms: 3x + -2x = 1x 26 + 1x = 13 Solving 26 + 1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 1x = 13 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 13 + -26 1x = 13 + -26 Combine like terms: 13 + -26 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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