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Simplifying (8x + 100) + (2x + 50) = 180 Reorder the terms: (100 + 8x) + (2x + 50) = 180 Remove parenthesis around (100 + 8x) 100 + 8x + (2x + 50) = 180 Reorder the terms: 100 + 8x + (50 + 2x) = 180 Remove parenthesis around (50 + 2x) 100 + 8x + 50 + 2x = 180 Reorder the terms: 100 + 50 + 8x + 2x = 180 Combine like terms: 100 + 50 = 150 150 + 8x + 2x = 180 Combine like terms: 8x + 2x = 10x 150 + 10x = 180 Solving 150 + 10x = 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 + 10x = 180 + -150 Combine like terms: 150 + -150 = 0 0 + 10x = 180 + -150 10x = 180 + -150 Combine like terms: 180 + -150 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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