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Simplifying -2(3x + 4) + -6(-5y + -5x) = 0 Reorder the terms: -2(4 + 3x) + -6(-5y + -5x) = 0 (4 * -2 + 3x * -2) + -6(-5y + -5x) = 0 (-8 + -6x) + -6(-5y + -5x) = 0 Reorder the terms: -8 + -6x + -6(-5x + -5y) = 0 -8 + -6x + (-5x * -6 + -5y * -6) = 0 -8 + -6x + (30x + 30y) = 0 Combine like terms: -6x + 30x = 24x -8 + 24x + 30y = 0 Solving -8 + 24x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 24x + 8 + 30y = 0 + 8 Reorder the terms: -8 + 8 + 24x + 30y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 24x + 30y = 0 + 8 24x + 30y = 0 + 8 Combine like terms: 0 + 8 = 8 24x + 30y = 8 Add '-30y' to each side of the equation. 24x + 30y + -30y = 8 + -30y Combine like terms: 30y + -30y = 0 24x + 0 = 8 + -30y 24x = 8 + -30y Divide each side by '24'. x = 0.3333333333 + -1.25y Simplifying x = 0.3333333333 + -1.25y
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