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Simplifying (3x + 42) + (5x + -22) = 180 Reorder the terms: (42 + 3x) + (5x + -22) = 180 Remove parenthesis around (42 + 3x) 42 + 3x + (5x + -22) = 180 Reorder the terms: 42 + 3x + (-22 + 5x) = 180 Remove parenthesis around (-22 + 5x) 42 + 3x + -22 + 5x = 180 Reorder the terms: 42 + -22 + 3x + 5x = 180 Combine like terms: 42 + -22 = 20 20 + 3x + 5x = 180 Combine like terms: 3x + 5x = 8x 20 + 8x = 180 Solving 20 + 8x = 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 + 8x = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 180 + -20 8x = 180 + -20 Combine like terms: 180 + -20 = 160 8x = 160 Divide each side by '8'. x = 20 Simplifying x = 20
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