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Simplifying 31 = 9(x + -5) + 4 Reorder the terms: 31 = 9(-5 + x) + 4 31 = (-5 * 9 + x * 9) + 4 31 = (-45 + 9x) + 4 Reorder the terms: 31 = -45 + 4 + 9x Combine like terms: -45 + 4 = -41 31 = -41 + 9x Solving 31 = -41 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 31 + -9x = -41 + 9x + -9x Combine like terms: 9x + -9x = 0 31 + -9x = -41 + 0 31 + -9x = -41 Add '-31' to each side of the equation. 31 + -31 + -9x = -41 + -31 Combine like terms: 31 + -31 = 0 0 + -9x = -41 + -31 -9x = -41 + -31 Combine like terms: -41 + -31 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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