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Simplifying 7(3x + 2) = 8(x + 5) + -17 Reorder the terms: 7(2 + 3x) = 8(x + 5) + -17 (2 * 7 + 3x * 7) = 8(x + 5) + -17 (14 + 21x) = 8(x + 5) + -17 Reorder the terms: 14 + 21x = 8(5 + x) + -17 14 + 21x = (5 * 8 + x * 8) + -17 14 + 21x = (40 + 8x) + -17 Reorder the terms: 14 + 21x = 40 + -17 + 8x Combine like terms: 40 + -17 = 23 14 + 21x = 23 + 8x Solving 14 + 21x = 23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 21x + -8x = 23 + 8x + -8x Combine like terms: 21x + -8x = 13x 14 + 13x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 13x = 23 + 0 14 + 13x = 23 Add '-14' to each side of the equation. 14 + -14 + 13x = 23 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = 23 + -14 13x = 23 + -14 Combine like terms: 23 + -14 = 9 13x = 9 Divide each side by '13'. x = 0.6923076923 Simplifying x = 0.6923076923
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