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Simplifying 75 + 5x = 10x + 100 Reorder the terms: 75 + 5x = 100 + 10x Solving 75 + 5x = 100 + 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. 75 + 5x + -10x = 100 + 10x + -10x Combine like terms: 5x + -10x = -5x 75 + -5x = 100 + 10x + -10x Combine like terms: 10x + -10x = 0 75 + -5x = 100 + 0 75 + -5x = 100 Add '-75' to each side of the equation. 75 + -75 + -5x = 100 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = 100 + -75 -5x = 100 + -75 Combine like terms: 100 + -75 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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