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Simplifying 2x + -3(x + -4) + 3(y + -4) = 0 Reorder the terms: 2x + -3(-4 + x) + 3(y + -4) = 0 2x + (-4 * -3 + x * -3) + 3(y + -4) = 0 2x + (12 + -3x) + 3(y + -4) = 0 Reorder the terms: 2x + 12 + -3x + 3(-4 + y) = 0 2x + 12 + -3x + (-4 * 3 + y * 3) = 0 2x + 12 + -3x + (-12 + 3y) = 0 Reorder the terms: 12 + -12 + 2x + -3x + 3y = 0 Combine like terms: 12 + -12 = 0 0 + 2x + -3x + 3y = 0 2x + -3x + 3y = 0 Combine like terms: 2x + -3x = -1x -1x + 3y = 0 Solving -1x + 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. -1x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 0 + -3y -1x = 0 + -3y Remove the zero: -1x = -3y Divide each side by '-1'. x = 3y Simplifying x = 3y
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