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Simplifying (10x + -3) + (7x + -1) + 5(x + 6) = 180 Reorder the terms: (-3 + 10x) + (7x + -1) + 5(x + 6) = 180 Remove parenthesis around (-3 + 10x) -3 + 10x + (7x + -1) + 5(x + 6) = 180 Reorder the terms: -3 + 10x + (-1 + 7x) + 5(x + 6) = 180 Remove parenthesis around (-1 + 7x) -3 + 10x + -1 + 7x + 5(x + 6) = 180 Reorder the terms: -3 + 10x + -1 + 7x + 5(6 + x) = 180 -3 + 10x + -1 + 7x + (6 * 5 + x * 5) = 180 -3 + 10x + -1 + 7x + (30 + 5x) = 180 Reorder the terms: -3 + -1 + 30 + 10x + 7x + 5x = 180 Combine like terms: -3 + -1 = -4 -4 + 30 + 10x + 7x + 5x = 180 Combine like terms: -4 + 30 = 26 26 + 10x + 7x + 5x = 180 Combine like terms: 10x + 7x = 17x 26 + 17x + 5x = 180 Combine like terms: 17x + 5x = 22x 26 + 22x = 180 Solving 26 + 22x = 180 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 + 22x = 180 + -26 Combine like terms: 26 + -26 = 0 0 + 22x = 180 + -26 22x = 180 + -26 Combine like terms: 180 + -26 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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