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Simplifying -5(x + 6y) + 6(3x + y) = 0 (x * -5 + 6y * -5) + 6(3x + y) = 0 (-5x + -30y) + 6(3x + y) = 0 -5x + -30y + (3x * 6 + y * 6) = 0 -5x + -30y + (18x + 6y) = 0 Reorder the terms: -5x + 18x + -30y + 6y = 0 Combine like terms: -5x + 18x = 13x 13x + -30y + 6y = 0 Combine like terms: -30y + 6y = -24y 13x + -24y = 0 Solving 13x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. 13x + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 13x + 0 = 0 + 24y 13x = 0 + 24y Remove the zero: 13x = 24y Divide each side by '13'. x = 1.846153846y Simplifying x = 1.846153846y
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