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Simplifying 31 + 5x = 4(x + 6) Reorder the terms: 31 + 5x = 4(6 + x) 31 + 5x = (6 * 4 + x * 4) 31 + 5x = (24 + 4x) Solving 31 + 5x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 31 + 5x + -4x = 24 + 4x + -4x Combine like terms: 5x + -4x = 1x 31 + 1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + 1x = 24 + 0 31 + 1x = 24 Add '-31' to each side of the equation. 31 + -31 + 1x = 24 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 24 + -31 1x = 24 + -31 Combine like terms: 24 + -31 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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