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Simplifying 40x + 30y + 40 = 1000 + -1x + 4y Reorder the terms: 40 + 40x + 30y = 1000 + -1x + 4y Solving 40 + 40x + 30y = 1000 + -1x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + 40x + x + 30y = 1000 + -1x + x + 4y Combine like terms: 40x + x = 41x 40 + 41x + 30y = 1000 + -1x + x + 4y Combine like terms: -1x + x = 0 40 + 41x + 30y = 1000 + 0 + 4y 40 + 41x + 30y = 1000 + 4y Add '-40' to each side of the equation. 40 + 41x + -40 + 30y = 1000 + -40 + 4y Reorder the terms: 40 + -40 + 41x + 30y = 1000 + -40 + 4y Combine like terms: 40 + -40 = 0 0 + 41x + 30y = 1000 + -40 + 4y 41x + 30y = 1000 + -40 + 4y Combine like terms: 1000 + -40 = 960 41x + 30y = 960 + 4y Add '-30y' to each side of the equation. 41x + 30y + -30y = 960 + 4y + -30y Combine like terms: 30y + -30y = 0 41x + 0 = 960 + 4y + -30y 41x = 960 + 4y + -30y Combine like terms: 4y + -30y = -26y 41x = 960 + -26y Divide each side by '41'. x = 23.41463415 + -0.6341463415y Simplifying x = 23.41463415 + -0.6341463415y
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