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Simplifying 2(x + -4) + y(2x + -1) = 0 Reorder the terms: 2(-4 + x) + y(2x + -1) = 0 (-4 * 2 + x * 2) + y(2x + -1) = 0 (-8 + 2x) + y(2x + -1) = 0 Reorder the terms: -8 + 2x + y(-1 + 2x) = 0 -8 + 2x + (-1 * y + 2x * y) = 0 Reorder the terms: -8 + 2x + (2xy + -1y) = 0 -8 + 2x + (2xy + -1y) = 0 Solving -8 + 2x + 2xy + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2x + 2xy + 8 + -1y = 0 + 8 Reorder the terms: -8 + 8 + 2x + 2xy + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2x + 2xy + -1y = 0 + 8 2x + 2xy + -1y = 0 + 8 Combine like terms: 0 + 8 = 8 2x + 2xy + -1y = 8 Add 'y' to each side of the equation. 2x + 2xy + -1y + y = 8 + y Combine like terms: -1y + y = 0 2x + 2xy + 0 = 8 + y 2x + 2xy = 8 + y Reorder the terms: -8 + 2x + 2xy + -1y = 8 + y + -8 + -1y Reorder the terms: -8 + 2x + 2xy + -1y = 8 + -8 + y + -1y Combine like terms: 8 + -8 = 0 -8 + 2x + 2xy + -1y = 0 + y + -1y -8 + 2x + 2xy + -1y = y + -1y Combine like terms: y + -1y = 0 -8 + 2x + 2xy + -1y = 0 The solution to this equation could not be determined.
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