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Simplifying 180 = (6x + -12) + (x + 17) Reorder the terms: 180 = (-12 + 6x) + (x + 17) Remove parenthesis around (-12 + 6x) 180 = -12 + 6x + (x + 17) Reorder the terms: 180 = -12 + 6x + (17 + x) Remove parenthesis around (17 + x) 180 = -12 + 6x + 17 + x Reorder the terms: 180 = -12 + 17 + 6x + x Combine like terms: -12 + 17 = 5 180 = 5 + 6x + x Combine like terms: 6x + x = 7x 180 = 5 + 7x Solving 180 = 5 + 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 = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 180 + -7x = 5 + 0 180 + -7x = 5 Add '-180' to each side of the equation. 180 + -180 + -7x = 5 + -180 Combine like terms: 180 + -180 = 0 0 + -7x = 5 + -180 -7x = 5 + -180 Combine like terms: 5 + -180 = -175 -7x = -175 Divide each side by '-7'. x = 25 Simplifying x = 25
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