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Simplifying 31 = 3(2x + -1) + 4 Reorder the terms: 31 = 3(-1 + 2x) + 4 31 = (-1 * 3 + 2x * 3) + 4 31 = (-3 + 6x) + 4 Reorder the terms: 31 = -3 + 4 + 6x Combine like terms: -3 + 4 = 1 31 = 1 + 6x Solving 31 = 1 + 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 + -6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + -6x = 1 + 0 31 + -6x = 1 Add '-31' to each side of the equation. 31 + -31 + -6x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -6x = 1 + -31 -6x = 1 + -31 Combine like terms: 1 + -31 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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