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Simplifying (10x + 20) + (32 + 6x) = 180 Reorder the terms: (20 + 10x) + (32 + 6x) = 180 Remove parenthesis around (20 + 10x) 20 + 10x + (32 + 6x) = 180 Remove parenthesis around (32 + 6x) 20 + 10x + 32 + 6x = 180 Reorder the terms: 20 + 32 + 10x + 6x = 180 Combine like terms: 20 + 32 = 52 52 + 10x + 6x = 180 Combine like terms: 10x + 6x = 16x 52 + 16x = 180 Solving 52 + 16x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 16x = 180 + -52 Combine like terms: 52 + -52 = 0 0 + 16x = 180 + -52 16x = 180 + -52 Combine like terms: 180 + -52 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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