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Simplifying 3(x + 5) + 2 = 8x + 3(x + 2) Reorder the terms: 3(5 + x) + 2 = 8x + 3(x + 2) (5 * 3 + x * 3) + 2 = 8x + 3(x + 2) (15 + 3x) + 2 = 8x + 3(x + 2) Reorder the terms: 15 + 2 + 3x = 8x + 3(x + 2) Combine like terms: 15 + 2 = 17 17 + 3x = 8x + 3(x + 2) Reorder the terms: 17 + 3x = 8x + 3(2 + x) 17 + 3x = 8x + (2 * 3 + x * 3) 17 + 3x = 8x + (6 + 3x) Reorder the terms: 17 + 3x = 6 + 8x + 3x Combine like terms: 8x + 3x = 11x 17 + 3x = 6 + 11x Solving 17 + 3x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 17 + 3x + -11x = 6 + 11x + -11x Combine like terms: 3x + -11x = -8x 17 + -8x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + -8x = 6 + 0 17 + -8x = 6 Add '-17' to each side of the equation. 17 + -17 + -8x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -8x = 6 + -17 -8x = 6 + -17 Combine like terms: 6 + -17 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375
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