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Simplifying 31 + 4x = 7x + 2(x + 3) Reorder the terms: 31 + 4x = 7x + 2(3 + x) 31 + 4x = 7x + (3 * 2 + x * 2) 31 + 4x = 7x + (6 + 2x) Reorder the terms: 31 + 4x = 6 + 7x + 2x Combine like terms: 7x + 2x = 9x 31 + 4x = 6 + 9x Solving 31 + 4x = 6 + 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 + 4x + -9x = 6 + 9x + -9x Combine like terms: 4x + -9x = -5x 31 + -5x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 31 + -5x = 6 + 0 31 + -5x = 6 Add '-31' to each side of the equation. 31 + -31 + -5x = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = 6 + -31 -5x = 6 + -31 Combine like terms: 6 + -31 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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