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Simplifying 3x + 8 = 3(x + 7) + -3x + 5 Reorder the terms: 8 + 3x = 3(x + 7) + -3x + 5 Reorder the terms: 8 + 3x = 3(7 + x) + -3x + 5 8 + 3x = (7 * 3 + x * 3) + -3x + 5 8 + 3x = (21 + 3x) + -3x + 5 Reorder the terms: 8 + 3x = 21 + 5 + 3x + -3x Combine like terms: 21 + 5 = 26 8 + 3x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 3x = 26 + 0 8 + 3x = 26 Solving 8 + 3x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 26 + -8 3x = 26 + -8 Combine like terms: 26 + -8 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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