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Simplifying 7x + 2y = 6x + -5y Solving 7x + 2y = 6x + -5y 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. 7x + -6x + 2y = 6x + -6x + -5y Combine like terms: 7x + -6x = 1x 1x + 2y = 6x + -6x + -5y Combine like terms: 6x + -6x = 0 1x + 2y = 0 + -5y 1x + 2y = -5y Add '-2y' to each side of the equation. 1x + 2y + -2y = -5y + -2y Combine like terms: 2y + -2y = 0 1x + 0 = -5y + -2y 1x = -5y + -2y Combine like terms: -5y + -2y = -7y 1x = -7y Divide each side by '1'. x = -7y Simplifying x = -7y
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