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Simplifying 4(2x + 3y + -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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