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Simplifying 6(2x + -3y + 4) = 0 Reorder the terms: 6(4 + 2x + -3y) = 0 (4 * 6 + 2x * 6 + -3y * 6) = 0 (24 + 12x + -18y) = 0 Solving 24 + 12x + -18y = 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 + 12x + -24 + -18y = 0 + -24 Reorder the terms: 24 + -24 + 12x + -18y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12x + -18y = 0 + -24 12x + -18y = 0 + -24 Combine like terms: 0 + -24 = -24 12x + -18y = -24 Add '18y' to each side of the equation. 12x + -18y + 18y = -24 + 18y Combine like terms: -18y + 18y = 0 12x + 0 = -24 + 18y 12x = -24 + 18y Divide each side by '12'. x = -2 + 1.5y Simplifying x = -2 + 1.5y
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