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Simplifying 180 + -1(10x + 3) + -1(6x) = (87 + -4x) Reorder the terms: 180 + -1(3 + 10x) + -1(6x) = (87 + -4x) 180 + (3 * -1 + 10x * -1) + -1(6x) = (87 + -4x) 180 + (-3 + -10x) + -1(6x) = (87 + -4x) Remove parenthesis around (6x) 180 + -3 + -10x + -1 * 6x = (87 + -4x) Multiply -1 * 6 180 + -3 + -10x + -6x = (87 + -4x) Combine like terms: 180 + -3 = 177 177 + -10x + -6x = (87 + -4x) Combine like terms: -10x + -6x = -16x 177 + -16x = (87 + -4x) Remove parenthesis around (87 + -4x) 177 + -16x = 87 + -4x Solving 177 + -16x = 87 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 177 + -16x + 4x = 87 + -4x + 4x Combine like terms: -16x + 4x = -12x 177 + -12x = 87 + -4x + 4x Combine like terms: -4x + 4x = 0 177 + -12x = 87 + 0 177 + -12x = 87 Add '-177' to each side of the equation. 177 + -177 + -12x = 87 + -177 Combine like terms: 177 + -177 = 0 0 + -12x = 87 + -177 -12x = 87 + -177 Combine like terms: 87 + -177 = -90 -12x = -90 Divide each side by '-12'. x = 7.5 Simplifying x = 7.5
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