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Simplifying 3x + -4y = 5x + 12 Reorder the terms: 3x + -4y = 12 + 5x Solving 3x + -4y = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3x + -5x + -4y = 12 + 5x + -5x Combine like terms: 3x + -5x = -2x -2x + -4y = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2x + -4y = 12 + 0 -2x + -4y = 12 Add '4y' to each side of the equation. -2x + -4y + 4y = 12 + 4y Combine like terms: -4y + 4y = 0 -2x + 0 = 12 + 4y -2x = 12 + 4y Divide each side by '-2'. x = -6 + -2y Simplifying x = -6 + -2y
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