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Simplifying 12x + 3y3 + -8x + 2y2 = 0 Reorder the terms: 12x + -8x + 2y2 + 3y3 = 0 Combine like terms: 12x + -8x = 4x 4x + 2y2 + 3y3 = 0 Solving 4x + 2y2 + 3y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 4x + 2y2 + -2y2 + 3y3 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 4x + 0 + 3y3 = 0 + -2y2 4x + 3y3 = 0 + -2y2 Remove the zero: 4x + 3y3 = -2y2 Add '-3y3' to each side of the equation. 4x + 3y3 + -3y3 = -2y2 + -3y3 Combine like terms: 3y3 + -3y3 = 0 4x + 0 = -2y2 + -3y3 4x = -2y2 + -3y3 Divide each side by '4'. x = -0.5y2 + -0.75y3 Simplifying x = -0.5y2 + -0.75y3
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