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Simplifying 5x + -1y + 2 + 3x + -5y + 6 = 0 Reorder the terms: 2 + 6 + 5x + 3x + -1y + -5y = 0 Combine like terms: 2 + 6 = 8 8 + 5x + 3x + -1y + -5y = 0 Combine like terms: 5x + 3x = 8x 8 + 8x + -1y + -5y = 0 Combine like terms: -1y + -5y = -6y 8 + 8x + -6y = 0 Solving 8 + 8x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8x + -8 + -6y = 0 + -8 Reorder the terms: 8 + -8 + 8x + -6y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8x + -6y = 0 + -8 8x + -6y = 0 + -8 Combine like terms: 0 + -8 = -8 8x + -6y = -8 Add '6y' to each side of the equation. 8x + -6y + 6y = -8 + 6y Combine like terms: -6y + 6y = 0 8x + 0 = -8 + 6y 8x = -8 + 6y Divide each side by '8'. x = -1 + 0.75y Simplifying x = -1 + 0.75y
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