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Simplifying -4(3y + -2x + -6) = 0 Reorder the terms: -4(-6 + -2x + 3y) = 0 (-6 * -4 + -2x * -4 + 3y * -4) = 0 (24 + 8x + -12y) = 0 Solving 24 + 8x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 8x + -24 + -12y = 0 + -24 Reorder the terms: 24 + -24 + 8x + -12y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8x + -12y = 0 + -24 8x + -12y = 0 + -24 Combine like terms: 0 + -24 = -24 8x + -12y = -24 Add '12y' to each side of the equation. 8x + -12y + 12y = -24 + 12y Combine like terms: -12y + 12y = 0 8x + 0 = -24 + 12y 8x = -24 + 12y Divide each side by '8'. x = -3 + 1.5y Simplifying x = -3 + 1.5y
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