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Simplifying 3x + 4y + 6 + -2 + 5x + -1y = 0 Reorder the terms: 6 + -2 + 3x + 5x + 4y + -1y = 0 Combine like terms: 6 + -2 = 4 4 + 3x + 5x + 4y + -1y = 0 Combine like terms: 3x + 5x = 8x 4 + 8x + 4y + -1y = 0 Combine like terms: 4y + -1y = 3y 4 + 8x + 3y = 0 Solving 4 + 8x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8x + -4 + 3y = 0 + -4 Reorder the terms: 4 + -4 + 8x + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8x + 3y = 0 + -4 8x + 3y = 0 + -4 Combine like terms: 0 + -4 = -4 8x + 3y = -4 Add '-3y' to each side of the equation. 8x + 3y + -3y = -4 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = -4 + -3y 8x = -4 + -3y Divide each side by '8'. x = -0.5 + -0.375y Simplifying x = -0.5 + -0.375y
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