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Simplifying 2(4x + 3) + -3(3y + 3) = 0 Reorder the terms: 2(3 + 4x) + -3(3y + 3) = 0 (3 * 2 + 4x * 2) + -3(3y + 3) = 0 (6 + 8x) + -3(3y + 3) = 0 Reorder the terms: 6 + 8x + -3(3 + 3y) = 0 6 + 8x + (3 * -3 + 3y * -3) = 0 6 + 8x + (-9 + -9y) = 0 Reorder the terms: 6 + -9 + 8x + -9y = 0 Combine like terms: 6 + -9 = -3 -3 + 8x + -9y = 0 Solving -3 + 8x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8x + 3 + -9y = 0 + 3 Reorder the terms: -3 + 3 + 8x + -9y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8x + -9y = 0 + 3 8x + -9y = 0 + 3 Combine like terms: 0 + 3 = 3 8x + -9y = 3 Add '9y' to each side of the equation. 8x + -9y + 9y = 3 + 9y Combine like terms: -9y + 9y = 0 8x + 0 = 3 + 9y 8x = 3 + 9y Divide each side by '8'. x = 0.375 + 1.125y Simplifying x = 0.375 + 1.125y
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