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Simplifying 4x + 7y = 3x + -6y Solving 4x + 7y = 3x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4x + -3x + 7y = 3x + -3x + -6y Combine like terms: 4x + -3x = 1x 1x + 7y = 3x + -3x + -6y Combine like terms: 3x + -3x = 0 1x + 7y = 0 + -6y 1x + 7y = -6y Add '-7y' to each side of the equation. 1x + 7y + -7y = -6y + -7y Combine like terms: 7y + -7y = 0 1x + 0 = -6y + -7y 1x = -6y + -7y Combine like terms: -6y + -7y = -13y 1x = -13y Divide each side by '1'. x = -13y Simplifying x = -13y
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