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Simplifying (10x + 50) + (100 + -8x) = 180 Reorder the terms: (50 + 10x) + (100 + -8x) = 180 Remove parenthesis around (50 + 10x) 50 + 10x + (100 + -8x) = 180 Remove parenthesis around (100 + -8x) 50 + 10x + 100 + -8x = 180 Reorder the terms: 50 + 100 + 10x + -8x = 180 Combine like terms: 50 + 100 = 150 150 + 10x + -8x = 180 Combine like terms: 10x + -8x = 2x 150 + 2x = 180 Solving 150 + 2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 2x = 180 + -150 Combine like terms: 150 + -150 = 0 0 + 2x = 180 + -150 2x = 180 + -150 Combine like terms: 180 + -150 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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