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Simplifying 3x + 2 = 38 + -9x Reorder the terms: 2 + 3x = 38 + -9x Solving 2 + 3x = 38 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + 3x + 9x = 38 + -9x + 9x Combine like terms: 3x + 9x = 12x 2 + 12x = 38 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 12x = 38 + 0 2 + 12x = 38 Add '-2' to each side of the equation. 2 + -2 + 12x = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 38 + -2 12x = 38 + -2 Combine like terms: 38 + -2 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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