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Simplifying 3x + -12 + 6 = 34 + -2x Reorder the terms: -12 + 6 + 3x = 34 + -2x Combine like terms: -12 + 6 = -6 -6 + 3x = 34 + -2x Solving -6 + 3x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 3x + 2x = 34 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = 34 + 0 -6 + 5x = 34 Add '6' to each side of the equation. -6 + 6 + 5x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 34 + 6 5x = 34 + 6 Combine like terms: 34 + 6 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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