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Simplifying 3x + 6 = -4x + 12 Reorder the terms: 6 + 3x = -4x + 12 Reorder the terms: 6 + 3x = 12 + -4x Solving 6 + 3x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 3x + 4x = 12 + -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = 12 + 0 6 + 7x = 12 Add '-6' to each side of the equation. 6 + -6 + 7x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 12 + -6 7x = 12 + -6 Combine like terms: 12 + -6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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