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Simplifying (20x + 180) + -1(30x + 50) = 40x + -60 Reorder the terms: (180 + 20x) + -1(30x + 50) = 40x + -60 Remove parenthesis around (180 + 20x) 180 + 20x + -1(30x + 50) = 40x + -60 Reorder the terms: 180 + 20x + -1(50 + 30x) = 40x + -60 180 + 20x + (50 * -1 + 30x * -1) = 40x + -60 180 + 20x + (-50 + -30x) = 40x + -60 Reorder the terms: 180 + -50 + 20x + -30x = 40x + -60 Combine like terms: 180 + -50 = 130 130 + 20x + -30x = 40x + -60 Combine like terms: 20x + -30x = -10x 130 + -10x = 40x + -60 Reorder the terms: 130 + -10x = -60 + 40x Solving 130 + -10x = -60 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 130 + -10x + -40x = -60 + 40x + -40x Combine like terms: -10x + -40x = -50x 130 + -50x = -60 + 40x + -40x Combine like terms: 40x + -40x = 0 130 + -50x = -60 + 0 130 + -50x = -60 Add '-130' to each side of the equation. 130 + -130 + -50x = -60 + -130 Combine like terms: 130 + -130 = 0 0 + -50x = -60 + -130 -50x = -60 + -130 Combine like terms: -60 + -130 = -190 -50x = -190 Divide each side by '-50'. x = 3.8 Simplifying x = 3.8
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