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Simplifying 3(2x + -6y + 9) = 0 Reorder the terms: 3(9 + 2x + -6y) = 0 (9 * 3 + 2x * 3 + -6y * 3) = 0 (27 + 6x + -18y) = 0 Solving 27 + 6x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 6x + -27 + -18y = 0 + -27 Reorder the terms: 27 + -27 + 6x + -18y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6x + -18y = 0 + -27 6x + -18y = 0 + -27 Combine like terms: 0 + -27 = -27 6x + -18y = -27 Add '18y' to each side of the equation. 6x + -18y + 18y = -27 + 18y Combine like terms: -18y + 18y = 0 6x + 0 = -27 + 18y 6x = -27 + 18y Divide each side by '6'. x = -4.5 + 3y Simplifying x = -4.5 + 3y
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