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Simplifying 5x + 6y + 3x + 7y + 6 = 0 Reorder the terms: 6 + 5x + 3x + 6y + 7y = 0 Combine like terms: 5x + 3x = 8x 6 + 8x + 6y + 7y = 0 Combine like terms: 6y + 7y = 13y 6 + 8x + 13y = 0 Solving 6 + 8x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 8x + -6 + 13y = 0 + -6 Reorder the terms: 6 + -6 + 8x + 13y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8x + 13y = 0 + -6 8x + 13y = 0 + -6 Combine like terms: 0 + -6 = -6 8x + 13y = -6 Add '-13y' to each side of the equation. 8x + 13y + -13y = -6 + -13y Combine like terms: 13y + -13y = 0 8x + 0 = -6 + -13y 8x = -6 + -13y Divide each side by '8'. x = -0.75 + -1.625y Simplifying x = -0.75 + -1.625y
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