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Simplifying -2(x + 4) + -3(y + 3) = 0 Reorder the terms: -2(4 + x) + -3(y + 3) = 0 (4 * -2 + x * -2) + -3(y + 3) = 0 (-8 + -2x) + -3(y + 3) = 0 Reorder the terms: -8 + -2x + -3(3 + y) = 0 -8 + -2x + (3 * -3 + y * -3) = 0 -8 + -2x + (-9 + -3y) = 0 Reorder the terms: -8 + -9 + -2x + -3y = 0 Combine like terms: -8 + -9 = -17 -17 + -2x + -3y = 0 Solving -17 + -2x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -2x + 17 + -3y = 0 + 17 Reorder the terms: -17 + 17 + -2x + -3y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2x + -3y = 0 + 17 -2x + -3y = 0 + 17 Combine like terms: 0 + 17 = 17 -2x + -3y = 17 Add '3y' to each side of the equation. -2x + -3y + 3y = 17 + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = 17 + 3y -2x = 17 + 3y Divide each side by '-2'. x = -8.5 + -1.5y Simplifying x = -8.5 + -1.5y
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