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Simplifying (4x + -10) + (x + 30) = 180 Reorder the terms: (-10 + 4x) + (x + 30) = 180 Remove parenthesis around (-10 + 4x) -10 + 4x + (x + 30) = 180 Reorder the terms: -10 + 4x + (30 + x) = 180 Remove parenthesis around (30 + x) -10 + 4x + 30 + x = 180 Reorder the terms: -10 + 30 + 4x + x = 180 Combine like terms: -10 + 30 = 20 20 + 4x + x = 180 Combine like terms: 4x + x = 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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