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Simplifying 4x + 3y + 6x + -2y + 8 + -10 = 0 Reorder the terms: 8 + -10 + 4x + 6x + 3y + -2y = 0 Combine like terms: 8 + -10 = -2 -2 + 4x + 6x + 3y + -2y = 0 Combine like terms: 4x + 6x = 10x -2 + 10x + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y -2 + 10x + 1y = 0 Solving -2 + 10x + 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 + 10x + 2 + 1y = 0 + 2 Reorder the terms: -2 + 2 + 10x + 1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10x + 1y = 0 + 2 10x + 1y = 0 + 2 Combine like terms: 0 + 2 = 2 10x + 1y = 2 Add '-1y' to each side of the equation. 10x + 1y + -1y = 2 + -1y Combine like terms: 1y + -1y = 0 10x + 0 = 2 + -1y 10x = 2 + -1y Divide each side by '10'. x = 0.2 + -0.1y Simplifying x = 0.2 + -0.1y
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