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Simplifying (6x + 42) + (18x + -12) = 180 Reorder the terms: (42 + 6x) + (18x + -12) = 180 Remove parenthesis around (42 + 6x) 42 + 6x + (18x + -12) = 180 Reorder the terms: 42 + 6x + (-12 + 18x) = 180 Remove parenthesis around (-12 + 18x) 42 + 6x + -12 + 18x = 180 Reorder the terms: 42 + -12 + 6x + 18x = 180 Combine like terms: 42 + -12 = 30 30 + 6x + 18x = 180 Combine like terms: 6x + 18x = 24x 30 + 24x = 180 Solving 30 + 24x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 24x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 24x = 180 + -30 24x = 180 + -30 Combine like terms: 180 + -30 = 150 24x = 150 Divide each side by '24'. x = 6.25 Simplifying x = 6.25
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