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Simplifying 7(3x + 7) + 3(9 + -1x) = 0 Reorder the terms: 7(7 + 3x) + 3(9 + -1x) = 0 (7 * 7 + 3x * 7) + 3(9 + -1x) = 0 (49 + 21x) + 3(9 + -1x) = 0 49 + 21x + (9 * 3 + -1x * 3) = 0 49 + 21x + (27 + -3x) = 0 Reorder the terms: 49 + 27 + 21x + -3x = 0 Combine like terms: 49 + 27 = 76 76 + 21x + -3x = 0 Combine like terms: 21x + -3x = 18x 76 + 18x = 0 Solving 76 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 18x = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 18x = 0 + -76 18x = 0 + -76 Combine like terms: 0 + -76 = -76 18x = -76 Divide each side by '18'. x = -4.222222222 Simplifying x = -4.222222222
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