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Simplifying 3x + -5y = 2x + 7y Solving 3x + -5y = 2x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -2x + -5y = 2x + -2x + 7y Combine like terms: 3x + -2x = 1x 1x + -5y = 2x + -2x + 7y Combine like terms: 2x + -2x = 0 1x + -5y = 0 + 7y 1x + -5y = 7y Add '5y' to each side of the equation. 1x + -5y + 5y = 7y + 5y Combine like terms: -5y + 5y = 0 1x + 0 = 7y + 5y 1x = 7y + 5y Combine like terms: 7y + 5y = 12y 1x = 12y Divide each side by '1'. x = 12y Simplifying x = 12y
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