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Simplifying (3x + 7y) = (4x + -5y) Remove parenthesis around (3x + 7y) 3x + 7y = (4x + -5y) Remove parenthesis around (4x + -5y) 3x + 7y = 4x + -5y Solving 3x + 7y = 4x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x + 7y = 4x + -4x + -5y Combine like terms: 3x + -4x = -1x -1x + 7y = 4x + -4x + -5y Combine like terms: 4x + -4x = 0 -1x + 7y = 0 + -5y -1x + 7y = -5y Add '-7y' to each side of the equation. -1x + 7y + -7y = -5y + -7y Combine like terms: 7y + -7y = 0 -1x + 0 = -5y + -7y -1x = -5y + -7y Combine like terms: -5y + -7y = -12y -1x = -12y Divide each side by '-1'. x = 12y Simplifying x = 12y
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