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Simplifying 180 + -1(10x + 3) + -1(6x) = (86 + -5x) Reorder the terms: 180 + -1(3 + 10x) + -1(6x) = (86 + -5x) 180 + (3 * -1 + 10x * -1) + -1(6x) = (86 + -5x) 180 + (-3 + -10x) + -1(6x) = (86 + -5x) Remove parenthesis around (6x) 180 + -3 + -10x + -1 * 6x = (86 + -5x) Multiply -1 * 6 180 + -3 + -10x + -6x = (86 + -5x) Combine like terms: 180 + -3 = 177 177 + -10x + -6x = (86 + -5x) Combine like terms: -10x + -6x = -16x 177 + -16x = (86 + -5x) Remove parenthesis around (86 + -5x) 177 + -16x = 86 + -5x Solving 177 + -16x = 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. 177 + -16x + 5x = 86 + -5x + 5x Combine like terms: -16x + 5x = -11x 177 + -11x = 86 + -5x + 5x Combine like terms: -5x + 5x = 0 177 + -11x = 86 + 0 177 + -11x = 86 Add '-177' to each side of the equation. 177 + -177 + -11x = 86 + -177 Combine like terms: 177 + -177 = 0 0 + -11x = 86 + -177 -11x = 86 + -177 Combine like terms: 86 + -177 = -91 -11x = -91 Divide each side by '-11'. x = 8.272727273 Simplifying x = 8.272727273
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