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Simplifying 3x + 4y + 6 + -1y + -5x + -8 = 0 Reorder the terms: 6 + -8 + 3x + -5x + 4y + -1y = 0 Combine like terms: 6 + -8 = -2 -2 + 3x + -5x + 4y + -1y = 0 Combine like terms: 3x + -5x = -2x -2 + -2x + 4y + -1y = 0 Combine like terms: 4y + -1y = 3y -2 + -2x + 3y = 0 Solving -2 + -2x + 3y = 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 + -2x + 2 + 3y = 0 + 2 Reorder the terms: -2 + 2 + -2x + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2x + 3y = 0 + 2 -2x + 3y = 0 + 2 Combine like terms: 0 + 2 = 2 -2x + 3y = 2 Add '-3y' to each side of the equation. -2x + 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = 2 + -3y -2x = 2 + -3y Divide each side by '-2'. x = -1 + 1.5y Simplifying x = -1 + 1.5y
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