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Simplifying (10x + 4) + (15x + 1) = 180 Reorder the terms: (4 + 10x) + (15x + 1) = 180 Remove parenthesis around (4 + 10x) 4 + 10x + (15x + 1) = 180 Reorder the terms: 4 + 10x + (1 + 15x) = 180 Remove parenthesis around (1 + 15x) 4 + 10x + 1 + 15x = 180 Reorder the terms: 4 + 1 + 10x + 15x = 180 Combine like terms: 4 + 1 = 5 5 + 10x + 15x = 180 Combine like terms: 10x + 15x = 25x 5 + 25x = 180 Solving 5 + 25x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 25x = 180 + -5 Combine like terms: 5 + -5 = 0 0 + 25x = 180 + -5 25x = 180 + -5 Combine like terms: 180 + -5 = 175 25x = 175 Divide each side by '25'. x = 7 Simplifying x = 7
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