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Simplifying 6(x + 31) + 1 = 31 Reorder the terms: 6(31 + x) + 1 = 31 (31 * 6 + x * 6) + 1 = 31 (186 + 6x) + 1 = 31 Reorder the terms: 186 + 1 + 6x = 31 Combine like terms: 186 + 1 = 187 187 + 6x = 31 Solving 187 + 6x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-187' to each side of the equation. 187 + -187 + 6x = 31 + -187 Combine like terms: 187 + -187 = 0 0 + 6x = 31 + -187 6x = 31 + -187 Combine like terms: 31 + -187 = -156 6x = -156 Divide each side by '6'. x = -26 Simplifying x = -26
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