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Simplifying (2x + 70) + (3x + -50) = 180 Reorder the terms: (70 + 2x) + (3x + -50) = 180 Remove parenthesis around (70 + 2x) 70 + 2x + (3x + -50) = 180 Reorder the terms: 70 + 2x + (-50 + 3x) = 180 Remove parenthesis around (-50 + 3x) 70 + 2x + -50 + 3x = 180 Reorder the terms: 70 + -50 + 2x + 3x = 180 Combine like terms: 70 + -50 = 20 20 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 20 + 5x = 180 Solving 20 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 180 + -20 5x = 180 + -20 Combine like terms: 180 + -20 = 160 5x = 160 Divide each side by '5'. x = 32 Simplifying x = 32
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