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Simplifying 6(-2 + -1y) + -4(x + -1y) = 0 (-2 * 6 + -1y * 6) + -4(x + -1y) = 0 (-12 + -6y) + -4(x + -1y) = 0 -12 + -6y + (x * -4 + -1y * -4) = 0 -12 + -6y + (-4x + 4y) = 0 Reorder the terms: -12 + -4x + -6y + 4y = 0 Combine like terms: -6y + 4y = -2y -12 + -4x + -2y = 0 Solving -12 + -4x + -2y = 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 + -4x + 12 + -2y = 0 + 12 Reorder the terms: -12 + 12 + -4x + -2y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4x + -2y = 0 + 12 -4x + -2y = 0 + 12 Combine like terms: 0 + 12 = 12 -4x + -2y = 12 Add '2y' to each side of the equation. -4x + -2y + 2y = 12 + 2y Combine like terms: -2y + 2y = 0 -4x + 0 = 12 + 2y -4x = 12 + 2y Divide each side by '-4'. x = -3 + -0.5y Simplifying x = -3 + -0.5y
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