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Simplifying 8x + 4y + 10 + -2x + 10y + -6 = 0 Reorder the terms: 10 + -6 + 8x + -2x + 4y + 10y = 0 Combine like terms: 10 + -6 = 4 4 + 8x + -2x + 4y + 10y = 0 Combine like terms: 8x + -2x = 6x 4 + 6x + 4y + 10y = 0 Combine like terms: 4y + 10y = 14y 4 + 6x + 14y = 0 Solving 4 + 6x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6x + -4 + 14y = 0 + -4 Reorder the terms: 4 + -4 + 6x + 14y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6x + 14y = 0 + -4 6x + 14y = 0 + -4 Combine like terms: 0 + -4 = -4 6x + 14y = -4 Add '-14y' to each side of the equation. 6x + 14y + -14y = -4 + -14y Combine like terms: 14y + -14y = 0 6x + 0 = -4 + -14y 6x = -4 + -14y Divide each side by '6'. x = -0.6666666667 + -2.333333333y Simplifying x = -0.6666666667 + -2.333333333y
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