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Simplifying 2(400 + -1y) + 3(400 + -1x) = 1050 (400 * 2 + -1y * 2) + 3(400 + -1x) = 1050 (800 + -2y) + 3(400 + -1x) = 1050 800 + -2y + (400 * 3 + -1x * 3) = 1050 800 + -2y + (1200 + -3x) = 1050 Reorder the terms: 800 + 1200 + -3x + -2y = 1050 Combine like terms: 800 + 1200 = 2000 2000 + -3x + -2y = 1050 Solving 2000 + -3x + -2y = 1050 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2000' to each side of the equation. 2000 + -3x + -2000 + -2y = 1050 + -2000 Reorder the terms: 2000 + -2000 + -3x + -2y = 1050 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -3x + -2y = 1050 + -2000 -3x + -2y = 1050 + -2000 Combine like terms: 1050 + -2000 = -950 -3x + -2y = -950 Add '2y' to each side of the equation. -3x + -2y + 2y = -950 + 2y Combine like terms: -2y + 2y = 0 -3x + 0 = -950 + 2y -3x = -950 + 2y Divide each side by '-3'. x = 316.6666667 + -0.6666666667y Simplifying x = 316.6666667 + -0.6666666667y
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