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Simplifying 7(3x + 2) = 3(x + 2) + -17 Reorder the terms: 7(2 + 3x) = 3(x + 2) + -17 (2 * 7 + 3x * 7) = 3(x + 2) + -17 (14 + 21x) = 3(x + 2) + -17 Reorder the terms: 14 + 21x = 3(2 + x) + -17 14 + 21x = (2 * 3 + x * 3) + -17 14 + 21x = (6 + 3x) + -17 Reorder the terms: 14 + 21x = 6 + -17 + 3x Combine like terms: 6 + -17 = -11 14 + 21x = -11 + 3x Solving 14 + 21x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 21x + -3x = -11 + 3x + -3x Combine like terms: 21x + -3x = 18x 14 + 18x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 18x = -11 + 0 14 + 18x = -11 Add '-14' to each side of the equation. 14 + -14 + 18x = -11 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = -11 + -14 18x = -11 + -14 Combine like terms: -11 + -14 = -25 18x = -25 Divide each side by '18'. x = -1.388888889 Simplifying x = -1.388888889
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