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Simplifying 5 + -6(3x + 2y) + 4y = 0 5 + (3x * -6 + 2y * -6) + 4y = 0 5 + (-18x + -12y) + 4y = 0 Combine like terms: -12y + 4y = -8y 5 + -18x + -8y = 0 Solving 5 + -18x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -18x + -5 + -8y = 0 + -5 Reorder the terms: 5 + -5 + -18x + -8y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -18x + -8y = 0 + -5 -18x + -8y = 0 + -5 Combine like terms: 0 + -5 = -5 -18x + -8y = -5 Add '8y' to each side of the equation. -18x + -8y + 8y = -5 + 8y Combine like terms: -8y + 8y = 0 -18x + 0 = -5 + 8y -18x = -5 + 8y Divide each side by '-18'. x = 0.2777777778 + -0.4444444444y Simplifying x = 0.2777777778 + -0.4444444444y
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