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Simplifying 1000 + 100x = 1500 + -50x Solving 1000 + 100x = 1500 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 1000 + 100x + 50x = 1500 + -50x + 50x Combine like terms: 100x + 50x = 150x 1000 + 150x = 1500 + -50x + 50x Combine like terms: -50x + 50x = 0 1000 + 150x = 1500 + 0 1000 + 150x = 1500 Add '-1000' to each side of the equation. 1000 + -1000 + 150x = 1500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 150x = 1500 + -1000 150x = 1500 + -1000 Combine like terms: 1500 + -1000 = 500 150x = 500 Divide each side by '150'. x = 3.333333333 Simplifying x = 3.333333333
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