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Simplifying 40x + 30y + 40 = 1000x + 4y Reorder the terms: 40 + 40x + 30y = 1000x + 4y Solving 40 + 40x + 30y = 1000x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000x' to each side of the equation. 40 + 40x + -1000x + 30y = 1000x + -1000x + 4y Combine like terms: 40x + -1000x = -960x 40 + -960x + 30y = 1000x + -1000x + 4y Combine like terms: 1000x + -1000x = 0 40 + -960x + 30y = 0 + 4y 40 + -960x + 30y = 4y Add '-40' to each side of the equation. 40 + -960x + -40 + 30y = -40 + 4y Reorder the terms: 40 + -40 + -960x + 30y = -40 + 4y Combine like terms: 40 + -40 = 0 0 + -960x + 30y = -40 + 4y -960x + 30y = -40 + 4y Add '-30y' to each side of the equation. -960x + 30y + -30y = -40 + 4y + -30y Combine like terms: 30y + -30y = 0 -960x + 0 = -40 + 4y + -30y -960x = -40 + 4y + -30y Combine like terms: 4y + -30y = -26y -960x = -40 + -26y Divide each side by '-960'. x = 0.04166666667 + 0.02708333333y Simplifying x = 0.04166666667 + 0.02708333333y
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