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Simplifying 9x + 13 = 3x + 31 Reorder the terms: 13 + 9x = 3x + 31 Reorder the terms: 13 + 9x = 31 + 3x Solving 13 + 9x = 31 + 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. 13 + 9x + -3x = 31 + 3x + -3x Combine like terms: 9x + -3x = 6x 13 + 6x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 6x = 31 + 0 13 + 6x = 31 Add '-13' to each side of the equation. 13 + -13 + 6x = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 31 + -13 6x = 31 + -13 Combine like terms: 31 + -13 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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