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Simplifying 3(2x + 10) + 7x + -8 = 2(2x + 6) + 31 Reorder the terms: 3(10 + 2x) + 7x + -8 = 2(2x + 6) + 31 (10 * 3 + 2x * 3) + 7x + -8 = 2(2x + 6) + 31 (30 + 6x) + 7x + -8 = 2(2x + 6) + 31 Reorder the terms: 30 + -8 + 6x + 7x = 2(2x + 6) + 31 Combine like terms: 30 + -8 = 22 22 + 6x + 7x = 2(2x + 6) + 31 Combine like terms: 6x + 7x = 13x 22 + 13x = 2(2x + 6) + 31 Reorder the terms: 22 + 13x = 2(6 + 2x) + 31 22 + 13x = (6 * 2 + 2x * 2) + 31 22 + 13x = (12 + 4x) + 31 Reorder the terms: 22 + 13x = 12 + 31 + 4x Combine like terms: 12 + 31 = 43 22 + 13x = 43 + 4x Solving 22 + 13x = 43 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + 13x + -4x = 43 + 4x + -4x Combine like terms: 13x + -4x = 9x 22 + 9x = 43 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 9x = 43 + 0 22 + 9x = 43 Add '-22' to each side of the equation. 22 + -22 + 9x = 43 + -22 Combine like terms: 22 + -22 = 0 0 + 9x = 43 + -22 9x = 43 + -22 Combine like terms: 43 + -22 = 21 9x = 21 Divide each side by '9'. x = 2.333333333 Simplifying x = 2.333333333
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