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Simplifying (5x + -27) + (-7x + -26) + (180 + -1(10x + -23)) = 180 Reorder the terms: (-27 + 5x) + (-7x + -26) + (180 + -1(10x + -23)) = 180 Remove parenthesis around (-27 + 5x) -27 + 5x + (-7x + -26) + (180 + -1(10x + -23)) = 180 Reorder the terms: -27 + 5x + (-26 + -7x) + (180 + -1(10x + -23)) = 180 Remove parenthesis around (-26 + -7x) -27 + 5x + -26 + -7x + (180 + -1(10x + -23)) = 180 Reorder the terms: -27 + 5x + -26 + -7x + (180 + -1(-23 + 10x)) = 180 -27 + 5x + -26 + -7x + (180 + (-23 * -1 + 10x * -1)) = 180 -27 + 5x + -26 + -7x + (180 + (23 + -10x)) = 180 Combine like terms: 180 + 23 = 203 -27 + 5x + -26 + -7x + (203 + -10x) = 180 Remove parenthesis around (203 + -10x) -27 + 5x + -26 + -7x + 203 + -10x = 180 Reorder the terms: -27 + -26 + 203 + 5x + -7x + -10x = 180 Combine like terms: -27 + -26 = -53 -53 + 203 + 5x + -7x + -10x = 180 Combine like terms: -53 + 203 = 150 150 + 5x + -7x + -10x = 180 Combine like terms: 5x + -7x = -2x 150 + -2x + -10x = 180 Combine like terms: -2x + -10x = -12x 150 + -12x = 180 Solving 150 + -12x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -12x = 180 + -150 Combine like terms: 150 + -150 = 0 0 + -12x = 180 + -150 -12x = 180 + -150 Combine like terms: 180 + -150 = 30 -12x = 30 Divide each side by '-12'. x = -2.5 Simplifying x = -2.5
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