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Simplifying 31 = 4x + 3(x + 1) Reorder the terms: 31 = 4x + 3(1 + x) 31 = 4x + (1 * 3 + x * 3) 31 = 4x + (3 + 3x) Reorder the terms: 31 = 3 + 4x + 3x Combine like terms: 4x + 3x = 7x 31 = 3 + 7x Solving 31 = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 31 + -7x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -7x = 3 + 0 31 + -7x = 3 Add '-31' to each side of the equation. 31 + -31 + -7x = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = 3 + -31 -7x = 3 + -31 Combine like terms: 3 + -31 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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