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Simplifying 2(x + 4y) + -3(2y + 9) = 0 (x * 2 + 4y * 2) + -3(2y + 9) = 0 (2x + 8y) + -3(2y + 9) = 0 Reorder the terms: 2x + 8y + -3(9 + 2y) = 0 2x + 8y + (9 * -3 + 2y * -3) = 0 2x + 8y + (-27 + -6y) = 0 Reorder the terms: -27 + 2x + 8y + -6y = 0 Combine like terms: 8y + -6y = 2y -27 + 2x + 2y = 0 Solving -27 + 2x + 2y = 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 + 2x + 27 + 2y = 0 + 27 Reorder the terms: -27 + 27 + 2x + 2y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2x + 2y = 0 + 27 2x + 2y = 0 + 27 Combine like terms: 0 + 27 = 27 2x + 2y = 27 Add '-2y' to each side of the equation. 2x + 2y + -2y = 27 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 27 + -2y 2x = 27 + -2y Divide each side by '2'. x = 13.5 + -1y Simplifying x = 13.5 + -1y
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