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Simplifying (180 + -1(5x + -50)) + (2x + (x + 30)) = 180 Reorder the terms: (180 + -1(-50 + 5x)) + (2x + (x + 30)) = 180 (180 + (-50 * -1 + 5x * -1)) + (2x + (x + 30)) = 180 (180 + (50 + -5x)) + (2x + (x + 30)) = 180 Combine like terms: 180 + 50 = 230 (230 + -5x) + (2x + (x + 30)) = 180 Remove parenthesis around (230 + -5x) 230 + -5x + (2x + (x + 30)) = 180 Reorder the terms: 230 + -5x + (2x + (30 + x)) = 180 Remove parenthesis around (30 + x) 230 + -5x + (2x + 30 + x) = 180 Reorder the terms: 230 + -5x + (30 + 2x + x) = 180 Combine like terms: 2x + x = 3x 230 + -5x + (30 + 3x) = 180 Remove parenthesis around (30 + 3x) 230 + -5x + 30 + 3x = 180 Reorder the terms: 230 + 30 + -5x + 3x = 180 Combine like terms: 230 + 30 = 260 260 + -5x + 3x = 180 Combine like terms: -5x + 3x = -2x 260 + -2x = 180 Solving 260 + -2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-260' to each side of the equation. 260 + -260 + -2x = 180 + -260 Combine like terms: 260 + -260 = 0 0 + -2x = 180 + -260 -2x = 180 + -260 Combine like terms: 180 + -260 = -80 -2x = -80 Divide each side by '-2'. x = 40 Simplifying x = 40
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