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Simplifying 5(x + 6) + 13(x + -1) = 180 Reorder the terms: 5(6 + x) + 13(x + -1) = 180 (6 * 5 + x * 5) + 13(x + -1) = 180 (30 + 5x) + 13(x + -1) = 180 Reorder the terms: 30 + 5x + 13(-1 + x) = 180 30 + 5x + (-1 * 13 + x * 13) = 180 30 + 5x + (-13 + 13x) = 180 Reorder the terms: 30 + -13 + 5x + 13x = 180 Combine like terms: 30 + -13 = 17 17 + 5x + 13x = 180 Combine like terms: 5x + 13x = 18x 17 + 18x = 180 Solving 17 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 18x = 180 + -17 Combine like terms: 17 + -17 = 0 0 + 18x = 180 + -17 18x = 180 + -17 Combine like terms: 180 + -17 = 163 18x = 163 Divide each side by '18'. x = 9.055555556 Simplifying x = 9.055555556
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