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Simplifying 6(x + -2) + 3(y + 4) = 0 Reorder the terms: 6(-2 + x) + 3(y + 4) = 0 (-2 * 6 + x * 6) + 3(y + 4) = 0 (-12 + 6x) + 3(y + 4) = 0 Reorder the terms: -12 + 6x + 3(4 + y) = 0 -12 + 6x + (4 * 3 + y * 3) = 0 -12 + 6x + (12 + 3y) = 0 Reorder the terms: -12 + 12 + 6x + 3y = 0 Combine like terms: -12 + 12 = 0 0 + 6x + 3y = 0 6x + 3y = 0 Solving 6x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 6x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = 0 + -3y 6x = 0 + -3y Remove the zero: 6x = -3y Divide each side by '6'. x = -0.5y Simplifying x = -0.5y
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