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Simplifying 3x + 2y + -5 + 5x + -1y + 7 = 0 Reorder the terms: -5 + 7 + 3x + 5x + 2y + -1y = 0 Combine like terms: -5 + 7 = 2 2 + 3x + 5x + 2y + -1y = 0 Combine like terms: 3x + 5x = 8x 2 + 8x + 2y + -1y = 0 Combine like terms: 2y + -1y = 1y 2 + 8x + 1y = 0 Solving 2 + 8x + 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 + 8x + -2 + 1y = 0 + -2 Reorder the terms: 2 + -2 + 8x + 1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8x + 1y = 0 + -2 8x + 1y = 0 + -2 Combine like terms: 0 + -2 = -2 8x + 1y = -2 Add '-1y' to each side of the equation. 8x + 1y + -1y = -2 + -1y Combine like terms: 1y + -1y = 0 8x + 0 = -2 + -1y 8x = -2 + -1y Divide each side by '8'. x = -0.25 + -0.125y Simplifying x = -0.25 + -0.125y
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