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