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Simplifying 8 + -6x + 2y + -10 + 10x = 0 Reorder the terms: 8 + -10 + -6x + 10x + 2y = 0 Combine like terms: 8 + -10 = -2 -2 + -6x + 10x + 2y = 0 Combine like terms: -6x + 10x = 4x -2 + 4x + 2y = 0 Solving -2 + 4x + 2y = 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 + 4x + 2 + 2y = 0 + 2 Reorder the terms: -2 + 2 + 4x + 2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x + 2y = 0 + 2 4x + 2y = 0 + 2 Combine like terms: 0 + 2 = 2 4x + 2y = 2 Add '-2y' to each side of the equation. 4x + 2y + -2y = 2 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 2 + -2y 4x = 2 + -2y Divide each side by '4'. x = 0.5 + -0.5y Simplifying x = 0.5 + -0.5y
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