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Simplifying 7(3x + 17) = (98 + -3x) * 7 Reorder the terms: 7(17 + 3x) = (98 + -3x) * 7 (17 * 7 + 3x * 7) = (98 + -3x) * 7 (119 + 21x) = (98 + -3x) * 7 Reorder the terms for easier multiplication: 119 + 21x = 7(98 + -3x) 119 + 21x = (98 * 7 + -3x * 7) 119 + 21x = (686 + -21x) Solving 119 + 21x = 686 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 119 + 21x + 21x = 686 + -21x + 21x Combine like terms: 21x + 21x = 42x 119 + 42x = 686 + -21x + 21x Combine like terms: -21x + 21x = 0 119 + 42x = 686 + 0 119 + 42x = 686 Add '-119' to each side of the equation. 119 + -119 + 42x = 686 + -119 Combine like terms: 119 + -119 = 0 0 + 42x = 686 + -119 42x = 686 + -119 Combine like terms: 686 + -119 = 567 42x = 567 Divide each side by '42'. x = 13.5 Simplifying x = 13.5
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