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Simplifying 3(x + 1) + 31 = 2(3x + 5) Reorder the terms: 3(1 + x) + 31 = 2(3x + 5) (1 * 3 + x * 3) + 31 = 2(3x + 5) (3 + 3x) + 31 = 2(3x + 5) Reorder the terms: 3 + 31 + 3x = 2(3x + 5) Combine like terms: 3 + 31 = 34 34 + 3x = 2(3x + 5) Reorder the terms: 34 + 3x = 2(5 + 3x) 34 + 3x = (5 * 2 + 3x * 2) 34 + 3x = (10 + 6x) Solving 34 + 3x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 34 + 3x + -6x = 10 + 6x + -6x Combine like terms: 3x + -6x = -3x 34 + -3x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 34 + -3x = 10 + 0 34 + -3x = 10 Add '-34' to each side of the equation. 34 + -34 + -3x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + -3x = 10 + -34 -3x = 10 + -34 Combine like terms: 10 + -34 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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