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Simplifying 8x + -12x + 3y + -2y + 6 + -4 = 0 Reorder the terms: 6 + -4 + 8x + -12x + 3y + -2y = 0 Combine like terms: 6 + -4 = 2 2 + 8x + -12x + 3y + -2y = 0 Combine like terms: 8x + -12x = -4x 2 + -4x + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y 2 + -4x + 1y = 0 Solving 2 + -4x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4x + -2 + 1y = 0 + -2 Reorder the terms: 2 + -2 + -4x + 1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4x + 1y = 0 + -2 -4x + 1y = 0 + -2 Combine like terms: 0 + -2 = -2 -4x + 1y = -2 Add '-1y' to each side of the equation. -4x + 1y + -1y = -2 + -1y Combine like terms: 1y + -1y = 0 -4x + 0 = -2 + -1y -4x = -2 + -1y Divide each side by '-4'. x = 0.5 + 0.25y Simplifying x = 0.5 + 0.25y
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