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Simplifying 5(5x + -1(2 + -5y + 4x) + 2y) = 0 Reorder the terms: 5(5x + -1(2 + 4x + -5y) + 2y) = 0 5(5x + (2 * -1 + 4x * -1 + -5y * -1) + 2y) = 0 5(5x + (-2 + -4x + 5y) + 2y) = 0 Reorder the terms: 5(-2 + 5x + -4x + 5y + 2y) = 0 Combine like terms: 5x + -4x = 1x 5(-2 + 1x + 5y + 2y) = 0 Combine like terms: 5y + 2y = 7y 5(-2 + 1x + 7y) = 0 (-2 * 5 + 1x * 5 + 7y * 5) = 0 (-10 + 5x + 35y) = 0 Solving -10 + 5x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 5x + 10 + 35y = 0 + 10 Reorder the terms: -10 + 10 + 5x + 35y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5x + 35y = 0 + 10 5x + 35y = 0 + 10 Combine like terms: 0 + 10 = 10 5x + 35y = 10 Add '-35y' to each side of the equation. 5x + 35y + -35y = 10 + -35y Combine like terms: 35y + -35y = 0 5x + 0 = 10 + -35y 5x = 10 + -35y Divide each side by '5'. x = 2 + -7y Simplifying x = 2 + -7y
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