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Simplifying x + -4y + 5(x + -4y) + -1(2x + -5y) = 0 x + -4y + (x * 5 + -4y * 5) + -1(2x + -5y) = 0 x + -4y + (5x + -20y) + -1(2x + -5y) = 0 x + -4y + 5x + -20y + (2x * -1 + -5y * -1) = 0 x + -4y + 5x + -20y + (-2x + 5y) = 0 Reorder the terms: x + 5x + -2x + -4y + -20y + 5y = 0 Combine like terms: x + 5x = 6x 6x + -2x + -4y + -20y + 5y = 0 Combine like terms: 6x + -2x = 4x 4x + -4y + -20y + 5y = 0 Combine like terms: -4y + -20y = -24y 4x + -24y + 5y = 0 Combine like terms: -24y + 5y = -19y 4x + -19y = 0 Solving 4x + -19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19y' to each side of the equation. 4x + -19y + 19y = 0 + 19y Combine like terms: -19y + 19y = 0 4x + 0 = 0 + 19y 4x = 0 + 19y Remove the zero: 4x = 19y Divide each side by '4'. x = 4.75y Simplifying x = 4.75y
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