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Simplifying 1500 + 10x = 1000 + 30x Solving 1500 + 10x = 1000 + 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. 1500 + 10x + -30x = 1000 + 30x + -30x Combine like terms: 10x + -30x = -20x 1500 + -20x = 1000 + 30x + -30x Combine like terms: 30x + -30x = 0 1500 + -20x = 1000 + 0 1500 + -20x = 1000 Add '-1500' to each side of the equation. 1500 + -1500 + -20x = 1000 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -20x = 1000 + -1500 -20x = 1000 + -1500 Combine like terms: 1000 + -1500 = -500 -20x = -500 Divide each side by '-20'. x = 25 Simplifying x = 25
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