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Simplifying (3x + 10) + (5x + 19) = 180 Reorder the terms: (10 + 3x) + (5x + 19) = 180 Remove parenthesis around (10 + 3x) 10 + 3x + (5x + 19) = 180 Reorder the terms: 10 + 3x + (19 + 5x) = 180 Remove parenthesis around (19 + 5x) 10 + 3x + 19 + 5x = 180 Reorder the terms: 10 + 19 + 3x + 5x = 180 Combine like terms: 10 + 19 = 29 29 + 3x + 5x = 180 Combine like terms: 3x + 5x = 8x 29 + 8x = 180 Solving 29 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 8x = 180 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 180 + -29 8x = 180 + -29 Combine like terms: 180 + -29 = 151 8x = 151 Divide each side by '8'. x = 18.875 Simplifying x = 18.875
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