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Simplifying 2x + 6y + 8 = 14x + 8y Reorder the terms: 8 + 2x + 6y = 14x + 8y Solving 8 + 2x + 6y = 14x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 2x + -14x + 6y = 14x + -14x + 8y Combine like terms: 2x + -14x = -12x 8 + -12x + 6y = 14x + -14x + 8y Combine like terms: 14x + -14x = 0 8 + -12x + 6y = 0 + 8y 8 + -12x + 6y = 8y Add '-8' to each side of the equation. 8 + -12x + -8 + 6y = -8 + 8y Reorder the terms: 8 + -8 + -12x + 6y = -8 + 8y Combine like terms: 8 + -8 = 0 0 + -12x + 6y = -8 + 8y -12x + 6y = -8 + 8y Add '-6y' to each side of the equation. -12x + 6y + -6y = -8 + 8y + -6y Combine like terms: 6y + -6y = 0 -12x + 0 = -8 + 8y + -6y -12x = -8 + 8y + -6y Combine like terms: 8y + -6y = 2y -12x = -8 + 2y Divide each side by '-12'. x = 0.6666666667 + -0.1666666667y Simplifying x = 0.6666666667 + -0.1666666667y
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