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Simplifying 2x + 6 = 4 + -3x + 12 Reorder the terms: 6 + 2x = 4 + -3x + 12 Reorder the terms: 6 + 2x = 4 + 12 + -3x Combine like terms: 4 + 12 = 16 6 + 2x = 16 + -3x Solving 6 + 2x = 16 + -3x 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. 6 + 2x + 3x = 16 + -3x + 3x Combine like terms: 2x + 3x = 5x 6 + 5x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 5x = 16 + 0 6 + 5x = 16 Add '-6' to each side of the equation. 6 + -6 + 5x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 16 + -6 5x = 16 + -6 Combine like terms: 16 + -6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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