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Simplifying 3x + 31 = 5(3x + 3) + -8 Reorder the terms: 31 + 3x = 5(3x + 3) + -8 Reorder the terms: 31 + 3x = 5(3 + 3x) + -8 31 + 3x = (3 * 5 + 3x * 5) + -8 31 + 3x = (15 + 15x) + -8 Reorder the terms: 31 + 3x = 15 + -8 + 15x Combine like terms: 15 + -8 = 7 31 + 3x = 7 + 15x Solving 31 + 3x = 7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 31 + 3x + -15x = 7 + 15x + -15x Combine like terms: 3x + -15x = -12x 31 + -12x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 31 + -12x = 7 + 0 31 + -12x = 7 Add '-31' to each side of the equation. 31 + -31 + -12x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -12x = 7 + -31 -12x = 7 + -31 Combine like terms: 7 + -31 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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