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Simplifying 7.5x + 100 = 10x Reorder the terms: 100 + 7.5x = 10x Solving 100 + 7.5x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 7.5x + -10x = 10x + -10x Combine like terms: 7.5x + -10x = -2.5x 100 + -2.5x = 10x + -10x Combine like terms: 10x + -10x = 0 100 + -2.5x = 0 Add '-100' to each side of the equation. 100 + -100 + -2.5x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -2.5x = 0 + -100 -2.5x = 0 + -100 Combine like terms: 0 + -100 = -100 -2.5x = -100 Divide each side by '-2.5'. x = 40 Simplifying x = 40
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