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Simplifying -6(3x + -4y + -5) = 0 Reorder the terms: -6(-5 + 3x + -4y) = 0 (-5 * -6 + 3x * -6 + -4y * -6) = 0 (30 + -18x + 24y) = 0 Solving 30 + -18x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -18x + -30 + 24y = 0 + -30 Reorder the terms: 30 + -30 + -18x + 24y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -18x + 24y = 0 + -30 -18x + 24y = 0 + -30 Combine like terms: 0 + -30 = -30 -18x + 24y = -30 Add '-24y' to each side of the equation. -18x + 24y + -24y = -30 + -24y Combine like terms: 24y + -24y = 0 -18x + 0 = -30 + -24y -18x = -30 + -24y Divide each side by '-18'. x = 1.666666667 + 1.333333333y Simplifying x = 1.666666667 + 1.333333333y
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