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Simplifying 7.5 = 0.1(50 + x) 7.5 = (50 * 0.1 + x * 0.1) 7.5 = (5 + 0.1x) Solving 7.5 = 5 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 7.5 + -0.1x = 5 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 7.5 + -0.1x = 5 + 0.0 7.5 + -0.1x = 5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.1x = 5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.1x = 5 + -7.5 -0.1x = 5 + -7.5 Combine like terms: 5 + -7.5 = -2.5 -0.1x = -2.5 Divide each side by '-0.1'. x = 25 Simplifying x = 25
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