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