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Simplifying -1(y + -1x) + -4(5y + -2x) = 0 Reorder the terms: -1(-1x + y) + -4(5y + -2x) = 0 (-1x * -1 + y * -1) + -4(5y + -2x) = 0 (1x + -1y) + -4(5y + -2x) = 0 Reorder the terms: 1x + -1y + -4(-2x + 5y) = 0 1x + -1y + (-2x * -4 + 5y * -4) = 0 1x + -1y + (8x + -20y) = 0 Reorder the terms: 1x + 8x + -1y + -20y = 0 Combine like terms: 1x + 8x = 9x 9x + -1y + -20y = 0 Combine like terms: -1y + -20y = -21y 9x + -21y = 0 Solving 9x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21y' to each side of the equation. 9x + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 9x + 0 = 0 + 21y 9x = 0 + 21y Remove the zero: 9x = 21y Divide each side by '9'. x = 2.333333333y Simplifying x = 2.333333333y
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