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Simplifying 3x + 31 = 6x + -14 Reorder the terms: 31 + 3x = 6x + -14 Reorder the terms: 31 + 3x = -14 + 6x Solving 31 + 3x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 31 + 3x + -6x = -14 + 6x + -6x Combine like terms: 3x + -6x = -3x 31 + -3x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + -3x = -14 + 0 31 + -3x = -14 Add '-31' to each side of the equation. 31 + -31 + -3x = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = -14 + -31 -3x = -14 + -31 Combine like terms: -14 + -31 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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