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Simplifying 6x + 2(3x + -9y + 5) + (-9) = 0 Reorder the terms: 6x + 2(5 + 3x + -9y) + (-9) = 0 6x + (5 * 2 + 3x * 2 + -9y * 2) + (-9) = 0 6x + (10 + 6x + -18y) + (-9) = 0 6x + 10 + 6x + -18y + -9 = 0 Reorder the terms: 10 + -9 + 6x + 6x + -18y = 0 Combine like terms: 10 + -9 = 1 1 + 6x + 6x + -18y = 0 Combine like terms: 6x + 6x = 12x 1 + 12x + -18y = 0 Solving 1 + 12x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 12x + -1 + -18y = 0 + -1 Reorder the terms: 1 + -1 + 12x + -18y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12x + -18y = 0 + -1 12x + -18y = 0 + -1 Combine like terms: 0 + -1 = -1 12x + -18y = -1 Add '18y' to each side of the equation. 12x + -18y + 18y = -1 + 18y Combine like terms: -18y + 18y = 0 12x + 0 = -1 + 18y 12x = -1 + 18y Divide each side by '12'. x = -0.08333333333 + 1.5y Simplifying x = -0.08333333333 + 1.5y
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