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Simplifying 7.5x + 25 = 10x + 5 Reorder the terms: 25 + 7.5x = 10x + 5 Reorder the terms: 25 + 7.5x = 5 + 10x Solving 25 + 7.5x = 5 + 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. 25 + 7.5x + -10x = 5 + 10x + -10x Combine like terms: 7.5x + -10x = -2.5x 25 + -2.5x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + -2.5x = 5 + 0 25 + -2.5x = 5 Add '-25' to each side of the equation. 25 + -25 + -2.5x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + -2.5x = 5 + -25 -2.5x = 5 + -25 Combine like terms: 5 + -25 = -20 -2.5x = -20 Divide each side by '-2.5'. x = 8 Simplifying x = 8
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