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Simplifying 180 = x + (5x + 3) + (x + -12) Reorder the terms: 180 = x + (3 + 5x) + (x + -12) Remove parenthesis around (3 + 5x) 180 = x + 3 + 5x + (x + -12) Reorder the terms: 180 = x + 3 + 5x + (-12 + x) Remove parenthesis around (-12 + x) 180 = x + 3 + 5x + -12 + x Reorder the terms: 180 = 3 + -12 + x + 5x + x Combine like terms: 3 + -12 = -9 180 = -9 + x + 5x + x Combine like terms: x + 5x = 6x 180 = -9 + 6x + x Combine like terms: 6x + x = 7x 180 = -9 + 7x Solving 180 = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 180 + -7x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 180 + -7x = -9 + 0 180 + -7x = -9 Add '-180' to each side of the equation. 180 + -180 + -7x = -9 + -180 Combine like terms: 180 + -180 = 0 0 + -7x = -9 + -180 -7x = -9 + -180 Combine like terms: -9 + -180 = -189 -7x = -189 Divide each side by '-7'. x = 27 Simplifying x = 27
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