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Simplifying 5x + 7 = 6x + 2y Reorder the terms: 7 + 5x = 6x + 2y Solving 7 + 5x = 6x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 5x + -6x = 6x + -6x + 2y Combine like terms: 5x + -6x = -1x 7 + -1x = 6x + -6x + 2y Combine like terms: 6x + -6x = 0 7 + -1x = 0 + 2y 7 + -1x = 2y Add '-7' to each side of the equation. 7 + -7 + -1x = -7 + 2y Combine like terms: 7 + -7 = 0 0 + -1x = -7 + 2y -1x = -7 + 2y Divide each side by '-1'. x = 7 + -2y Simplifying x = 7 + -2y
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