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Simplifying 10x = 15(x + -100) Reorder the terms: 10x = 15(-100 + x) 10x = (-100 * 15 + x * 15) 10x = (-1500 + 15x) Solving 10x = -1500 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10x + -15x = -1500 + 15x + -15x Combine like terms: 10x + -15x = -5x -5x = -1500 + 15x + -15x Combine like terms: 15x + -15x = 0 -5x = -1500 + 0 -5x = -1500 Divide each side by '-5'. x = 300 Simplifying x = 300
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