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Simplifying 3(x + 6) + 2(3x + 4) = 98 Reorder the terms: 3(6 + x) + 2(3x + 4) = 98 (6 * 3 + x * 3) + 2(3x + 4) = 98 (18 + 3x) + 2(3x + 4) = 98 Reorder the terms: 18 + 3x + 2(4 + 3x) = 98 18 + 3x + (4 * 2 + 3x * 2) = 98 18 + 3x + (8 + 6x) = 98 Reorder the terms: 18 + 8 + 3x + 6x = 98 Combine like terms: 18 + 8 = 26 26 + 3x + 6x = 98 Combine like terms: 3x + 6x = 9x 26 + 9x = 98 Solving 26 + 9x = 98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9x = 98 + -26 Combine like terms: 26 + -26 = 0 0 + 9x = 98 + -26 9x = 98 + -26 Combine like terms: 98 + -26 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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