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