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Simplifying 100 + 10x = 1500 + 100 + 5x Combine like terms: 1500 + 100 = 1600 100 + 10x = 1600 + 5x Solving 100 + 10x = 1600 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 100 + 10x + -5x = 1600 + 5x + -5x Combine like terms: 10x + -5x = 5x 100 + 5x = 1600 + 5x + -5x Combine like terms: 5x + -5x = 0 100 + 5x = 1600 + 0 100 + 5x = 1600 Add '-100' to each side of the equation. 100 + -100 + 5x = 1600 + -100 Combine like terms: 100 + -100 = 0 0 + 5x = 1600 + -100 5x = 1600 + -100 Combine like terms: 1600 + -100 = 1500 5x = 1500 Divide each side by '5'. x = 300 Simplifying x = 300
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