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Simplifying 8y + 6x = 7x + 6y + 10 Reorder the terms: 6x + 8y = 7x + 6y + 10 Reorder the terms: 6x + 8y = 10 + 7x + 6y Solving 6x + 8y = 10 + 7x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x + 8y = 10 + 7x + -7x + 6y Combine like terms: 6x + -7x = -1x -1x + 8y = 10 + 7x + -7x + 6y Combine like terms: 7x + -7x = 0 -1x + 8y = 10 + 0 + 6y -1x + 8y = 10 + 6y Add '-8y' to each side of the equation. -1x + 8y + -8y = 10 + 6y + -8y Combine like terms: 8y + -8y = 0 -1x + 0 = 10 + 6y + -8y -1x = 10 + 6y + -8y Combine like terms: 6y + -8y = -2y -1x = 10 + -2y Divide each side by '-1'. x = -10 + 2y Simplifying x = -10 + 2y
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