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Simplifying 12x + 6 + -2y = 10 + -8x + 7y Reorder the terms: 6 + 12x + -2y = 10 + -8x + 7y Solving 6 + 12x + -2y = 10 + -8x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 12x + 8x + -2y = 10 + -8x + 8x + 7y Combine like terms: 12x + 8x = 20x 6 + 20x + -2y = 10 + -8x + 8x + 7y Combine like terms: -8x + 8x = 0 6 + 20x + -2y = 10 + 0 + 7y 6 + 20x + -2y = 10 + 7y Add '-6' to each side of the equation. 6 + 20x + -6 + -2y = 10 + -6 + 7y Reorder the terms: 6 + -6 + 20x + -2y = 10 + -6 + 7y Combine like terms: 6 + -6 = 0 0 + 20x + -2y = 10 + -6 + 7y 20x + -2y = 10 + -6 + 7y Combine like terms: 10 + -6 = 4 20x + -2y = 4 + 7y Add '2y' to each side of the equation. 20x + -2y + 2y = 4 + 7y + 2y Combine like terms: -2y + 2y = 0 20x + 0 = 4 + 7y + 2y 20x = 4 + 7y + 2y Combine like terms: 7y + 2y = 9y 20x = 4 + 9y Divide each side by '20'. x = 0.2 + 0.45y Simplifying x = 0.2 + 0.45y
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