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Simplifying 2(4 + -2x + y) + -4(5 + x + -1y) = 0 (4 * 2 + -2x * 2 + y * 2) + -4(5 + x + -1y) = 0 (8 + -4x + 2y) + -4(5 + x + -1y) = 0 8 + -4x + 2y + (5 * -4 + x * -4 + -1y * -4) = 0 8 + -4x + 2y + (-20 + -4x + 4y) = 0 Reorder the terms: 8 + -20 + -4x + -4x + 2y + 4y = 0 Combine like terms: 8 + -20 = -12 -12 + -4x + -4x + 2y + 4y = 0 Combine like terms: -4x + -4x = -8x -12 + -8x + 2y + 4y = 0 Combine like terms: 2y + 4y = 6y -12 + -8x + 6y = 0 Solving -12 + -8x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -8x + 12 + 6y = 0 + 12 Reorder the terms: -12 + 12 + -8x + 6y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -8x + 6y = 0 + 12 -8x + 6y = 0 + 12 Combine like terms: 0 + 12 = 12 -8x + 6y = 12 Add '-6y' to each side of the equation. -8x + 6y + -6y = 12 + -6y Combine like terms: 6y + -6y = 0 -8x + 0 = 12 + -6y -8x = 12 + -6y Divide each side by '-8'. x = -1.5 + 0.75y Simplifying x = -1.5 + 0.75y
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