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Simplifying (x + 24) + (5x + -12) = 180 Reorder the terms: (24 + x) + (5x + -12) = 180 Remove parenthesis around (24 + x) 24 + x + (5x + -12) = 180 Reorder the terms: 24 + x + (-12 + 5x) = 180 Remove parenthesis around (-12 + 5x) 24 + x + -12 + 5x = 180 Reorder the terms: 24 + -12 + x + 5x = 180 Combine like terms: 24 + -12 = 12 12 + x + 5x = 180 Combine like terms: x + 5x = 6x 12 + 6x = 180 Solving 12 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 180 + -12 6x = 180 + -12 Combine like terms: 180 + -12 = 168 6x = 168 Divide each side by '6'. x = 28 Simplifying x = 28
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