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Simplifying 10x + 15(3000 + -1y) = 32500 10x + (3000 * 15 + -1y * 15) = 32500 10x + (45000 + -15y) = 32500 Reorder the terms: 45000 + 10x + -15y = 32500 Solving 45000 + 10x + -15y = 32500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45000' to each side of the equation. 45000 + 10x + -45000 + -15y = 32500 + -45000 Reorder the terms: 45000 + -45000 + 10x + -15y = 32500 + -45000 Combine like terms: 45000 + -45000 = 0 0 + 10x + -15y = 32500 + -45000 10x + -15y = 32500 + -45000 Combine like terms: 32500 + -45000 = -12500 10x + -15y = -12500 Add '15y' to each side of the equation. 10x + -15y + 15y = -12500 + 15y Combine like terms: -15y + 15y = 0 10x + 0 = -12500 + 15y 10x = -12500 + 15y Divide each side by '10'. x = -1250 + 1.5y Simplifying x = -1250 + 1.5y
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