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Simplifying 4x + 2y = 3x + 4 + -6y Reorder the terms: 4x + 2y = 4 + 3x + -6y Solving 4x + 2y = 4 + 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 + 2y = 4 + 3x + -3x + -6y Combine like terms: 4x + -3x = 1x 1x + 2y = 4 + 3x + -3x + -6y Combine like terms: 3x + -3x = 0 1x + 2y = 4 + 0 + -6y 1x + 2y = 4 + -6y Add '-2y' to each side of the equation. 1x + 2y + -2y = 4 + -6y + -2y Combine like terms: 2y + -2y = 0 1x + 0 = 4 + -6y + -2y 1x = 4 + -6y + -2y Combine like terms: -6y + -2y = -8y 1x = 4 + -8y Divide each side by '1'. x = 4 + -8y Simplifying x = 4 + -8y
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