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Simplifying 180 + -1(10x + 3) + -1(5x + 4) = (86 + -5x) Reorder the terms: 180 + -1(3 + 10x) + -1(5x + 4) = (86 + -5x) 180 + (3 * -1 + 10x * -1) + -1(5x + 4) = (86 + -5x) 180 + (-3 + -10x) + -1(5x + 4) = (86 + -5x) Reorder the terms: 180 + -3 + -10x + -1(4 + 5x) = (86 + -5x) 180 + -3 + -10x + (4 * -1 + 5x * -1) = (86 + -5x) 180 + -3 + -10x + (-4 + -5x) = (86 + -5x) Reorder the terms: 180 + -3 + -4 + -10x + -5x = (86 + -5x) Combine like terms: 180 + -3 = 177 177 + -4 + -10x + -5x = (86 + -5x) Combine like terms: 177 + -4 = 173 173 + -10x + -5x = (86 + -5x) Combine like terms: -10x + -5x = -15x 173 + -15x = (86 + -5x) Remove parenthesis around (86 + -5x) 173 + -15x = 86 + -5x Solving 173 + -15x = 86 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 173 + -15x + 5x = 86 + -5x + 5x Combine like terms: -15x + 5x = -10x 173 + -10x = 86 + -5x + 5x Combine like terms: -5x + 5x = 0 173 + -10x = 86 + 0 173 + -10x = 86 Add '-173' to each side of the equation. 173 + -173 + -10x = 86 + -173 Combine like terms: 173 + -173 = 0 0 + -10x = 86 + -173 -10x = 86 + -173 Combine like terms: 86 + -173 = -87 -10x = -87 Divide each side by '-10'. x = 8.7 Simplifying x = 8.7
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