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Simplifying 0.60x + 0.25(90) = 0.5(x + 90) Multiply 0.25 * 90 0.60x + 22.5 = 0.5(x + 90) Reorder the terms: 22.5 + 0.60x = 0.5(x + 90) Reorder the terms: 22.5 + 0.60x = 0.5(90 + x) 22.5 + 0.60x = (90 * 0.5 + x * 0.5) 22.5 + 0.60x = (45 + 0.5x) Solving 22.5 + 0.60x = 45 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 22.5 + 0.60x + -0.5x = 45 + 0.5x + -0.5x Combine like terms: 0.60x + -0.5x = 0.1x 22.5 + 0.1x = 45 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 22.5 + 0.1x = 45 + 0.0 22.5 + 0.1x = 45 Add '-22.5' to each side of the equation. 22.5 + -22.5 + 0.1x = 45 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + 0.1x = 45 + -22.5 0.1x = 45 + -22.5 Combine like terms: 45 + -22.5 = 22.5 0.1x = 22.5 Divide each side by '0.1'. x = 225 Simplifying x = 225
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