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Simplifying 4x + 5y = 6x + -7y Solving 4x + 5y = 6x + -7y 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. 4x + -6x + 5y = 6x + -6x + -7y Combine like terms: 4x + -6x = -2x -2x + 5y = 6x + -6x + -7y Combine like terms: 6x + -6x = 0 -2x + 5y = 0 + -7y -2x + 5y = -7y Add '-5y' to each side of the equation. -2x + 5y + -5y = -7y + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = -7y + -5y -2x = -7y + -5y Combine like terms: -7y + -5y = -12y -2x = -12y Divide each side by '-2'. x = 6y Simplifying x = 6y
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