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Simplifying 3(4x + 5y + -6) = 0 Reorder the terms: 3(-6 + 4x + 5y) = 0 (-6 * 3 + 4x * 3 + 5y * 3) = 0 (-18 + 12x + 15y) = 0 Solving -18 + 12x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 12x + 18 + 15y = 0 + 18 Reorder the terms: -18 + 18 + 12x + 15y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12x + 15y = 0 + 18 12x + 15y = 0 + 18 Combine like terms: 0 + 18 = 18 12x + 15y = 18 Add '-15y' to each side of the equation. 12x + 15y + -15y = 18 + -15y Combine like terms: 15y + -15y = 0 12x + 0 = 18 + -15y 12x = 18 + -15y Divide each side by '12'. x = 1.5 + -1.25y Simplifying x = 1.5 + -1.25y
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