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Simplifying 3x + 1 = 13 + -9x Reorder the terms: 1 + 3x = 13 + -9x Solving 1 + 3x = 13 + -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. 1 + 3x + 9x = 13 + -9x + 9x Combine like terms: 3x + 9x = 12x 1 + 12x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 12x = 13 + 0 1 + 12x = 13 Add '-1' to each side of the equation. 1 + -1 + 12x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 13 + -1 12x = 13 + -1 Combine like terms: 13 + -1 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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