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