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Simplifying 6(100 + -1x) + 3(100 + -1y) = 1500 (100 * 6 + -1x * 6) + 3(100 + -1y) = 1500 (600 + -6x) + 3(100 + -1y) = 1500 600 + -6x + (100 * 3 + -1y * 3) = 1500 600 + -6x + (300 + -3y) = 1500 Reorder the terms: 600 + 300 + -6x + -3y = 1500 Combine like terms: 600 + 300 = 900 900 + -6x + -3y = 1500 Solving 900 + -6x + -3y = 1500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-900' to each side of the equation. 900 + -6x + -900 + -3y = 1500 + -900 Reorder the terms: 900 + -900 + -6x + -3y = 1500 + -900 Combine like terms: 900 + -900 = 0 0 + -6x + -3y = 1500 + -900 -6x + -3y = 1500 + -900 Combine like terms: 1500 + -900 = 600 -6x + -3y = 600 Add '3y' to each side of the equation. -6x + -3y + 3y = 600 + 3y Combine like terms: -3y + 3y = 0 -6x + 0 = 600 + 3y -6x = 600 + 3y Divide each side by '-6'. x = -100 + -0.5y Simplifying x = -100 + -0.5y
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