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Simplifying 2(x + 3) + 3(y + 1) = 0 Reorder the terms: 2(3 + x) + 3(y + 1) = 0 (3 * 2 + x * 2) + 3(y + 1) = 0 (6 + 2x) + 3(y + 1) = 0 Reorder the terms: 6 + 2x + 3(1 + y) = 0 6 + 2x + (1 * 3 + y * 3) = 0 6 + 2x + (3 + 3y) = 0 Reorder the terms: 6 + 3 + 2x + 3y = 0 Combine like terms: 6 + 3 = 9 9 + 2x + 3y = 0 Solving 9 + 2x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2x + -9 + 3y = 0 + -9 Reorder the terms: 9 + -9 + 2x + 3y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x + 3y = 0 + -9 2x + 3y = 0 + -9 Combine like terms: 0 + -9 = -9 2x + 3y = -9 Add '-3y' to each side of the equation. 2x + 3y + -3y = -9 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -9 + -3y 2x = -9 + -3y Divide each side by '2'. x = -4.5 + -1.5y Simplifying x = -4.5 + -1.5y
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