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Simplifying (5x + -10) + (65 + 2x) + (x + 45) = 180 Reorder the terms: (-10 + 5x) + (65 + 2x) + (x + 45) = 180 Remove parenthesis around (-10 + 5x) -10 + 5x + (65 + 2x) + (x + 45) = 180 Remove parenthesis around (65 + 2x) -10 + 5x + 65 + 2x + (x + 45) = 180 Reorder the terms: -10 + 5x + 65 + 2x + (45 + x) = 180 Remove parenthesis around (45 + x) -10 + 5x + 65 + 2x + 45 + x = 180 Reorder the terms: -10 + 65 + 45 + 5x + 2x + x = 180 Combine like terms: -10 + 65 = 55 55 + 45 + 5x + 2x + x = 180 Combine like terms: 55 + 45 = 100 100 + 5x + 2x + x = 180 Combine like terms: 5x + 2x = 7x 100 + 7x + x = 180 Combine like terms: 7x + x = 8x 100 + 8x = 180 Solving 100 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 8x = 180 + -100 Combine like terms: 100 + -100 = 0 0 + 8x = 180 + -100 8x = 180 + -100 Combine like terms: 180 + -100 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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