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Simplifying 5(x + y) + 10 = 460 (x * 5 + y * 5) + 10 = 460 (5x + 5y) + 10 = 460 Reorder the terms: 10 + 5x + 5y = 460 Solving 10 + 5x + 5y = 460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5x + -10 + 5y = 460 + -10 Reorder the terms: 10 + -10 + 5x + 5y = 460 + -10 Combine like terms: 10 + -10 = 0 0 + 5x + 5y = 460 + -10 5x + 5y = 460 + -10 Combine like terms: 460 + -10 = 450 5x + 5y = 450 Add '-5y' to each side of the equation. 5x + 5y + -5y = 450 + -5y Combine like terms: 5y + -5y = 0 5x + 0 = 450 + -5y 5x = 450 + -5y Divide each side by '5'. x = 90 + -1y Simplifying x = 90 + -1y
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