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Simplifying 500 + -30x = 150 + 20x Solving 500 + -30x = 150 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 500 + -30x + -20x = 150 + 20x + -20x Combine like terms: -30x + -20x = -50x 500 + -50x = 150 + 20x + -20x Combine like terms: 20x + -20x = 0 500 + -50x = 150 + 0 500 + -50x = 150 Add '-500' to each side of the equation. 500 + -500 + -50x = 150 + -500 Combine like terms: 500 + -500 = 0 0 + -50x = 150 + -500 -50x = 150 + -500 Combine like terms: 150 + -500 = -350 -50x = -350 Divide each side by '-50'. x = 7 Simplifying x = 7
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