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Simplifying 1000 + 50y + 5x = 30y + 20x Reorder the terms: 1000 + 5x + 50y = 30y + 20x Reorder the terms: 1000 + 5x + 50y = 20x + 30y Solving 1000 + 5x + 50y = 20x + 30y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1000 + 5x + -20x + 50y = 20x + -20x + 30y Combine like terms: 5x + -20x = -15x 1000 + -15x + 50y = 20x + -20x + 30y Combine like terms: 20x + -20x = 0 1000 + -15x + 50y = 0 + 30y 1000 + -15x + 50y = 30y Add '-1000' to each side of the equation. 1000 + -15x + -1000 + 50y = -1000 + 30y Reorder the terms: 1000 + -1000 + -15x + 50y = -1000 + 30y Combine like terms: 1000 + -1000 = 0 0 + -15x + 50y = -1000 + 30y -15x + 50y = -1000 + 30y Add '-50y' to each side of the equation. -15x + 50y + -50y = -1000 + 30y + -50y Combine like terms: 50y + -50y = 0 -15x + 0 = -1000 + 30y + -50y -15x = -1000 + 30y + -50y Combine like terms: 30y + -50y = -20y -15x = -1000 + -20y Divide each side by '-15'. x = 66.66666667 + 1.333333333y Simplifying x = 66.66666667 + 1.333333333y
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