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Simplifying 3(x2 + -3) + 2(x + y + 5) + -3(y + x2) = 0 Reorder the terms: 3(-3 + x2) + 2(x + y + 5) + -3(y + x2) = 0 (-3 * 3 + x2 * 3) + 2(x + y + 5) + -3(y + x2) = 0 (-9 + 3x2) + 2(x + y + 5) + -3(y + x2) = 0 Reorder the terms: -9 + 3x2 + 2(5 + x + y) + -3(y + x2) = 0 -9 + 3x2 + (5 * 2 + x * 2 + y * 2) + -3(y + x2) = 0 -9 + 3x2 + (10 + 2x + 2y) + -3(y + x2) = 0 Reorder the terms: -9 + 3x2 + 10 + 2x + 2y + -3(x2 + y) = 0 -9 + 3x2 + 10 + 2x + 2y + (x2 * -3 + y * -3) = 0 -9 + 3x2 + 10 + 2x + 2y + (-3x2 + -3y) = 0 Reorder the terms: -9 + 10 + 2x + 3x2 + -3x2 + 2y + -3y = 0 Combine like terms: -9 + 10 = 1 1 + 2x + 3x2 + -3x2 + 2y + -3y = 0 Combine like terms: 3x2 + -3x2 = 0 1 + 2x + 0 + 2y + -3y = 0 1 + 2x + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y 1 + 2x + -1y = 0 Solving 1 + 2x + -1y = 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 + 2x + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + 2x + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + -1y = 0 + -1 2x + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 2x + -1y = -1 Add 'y' to each side of the equation. 2x + -1y + y = -1 + y Combine like terms: -1y + y = 0 2x + 0 = -1 + y 2x = -1 + y Divide each side by '2'. x = -0.5 + 0.5y Simplifying x = -0.5 + 0.5y
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