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Simplifying 3(2x + 9) + -1(6 + -1x) = 24 Reorder the terms: 3(9 + 2x) + -1(6 + -1x) = 24 (9 * 3 + 2x * 3) + -1(6 + -1x) = 24 (27 + 6x) + -1(6 + -1x) = 24 27 + 6x + (6 * -1 + -1x * -1) = 24 27 + 6x + (-6 + 1x) = 24 Reorder the terms: 27 + -6 + 6x + 1x = 24 Combine like terms: 27 + -6 = 21 21 + 6x + 1x = 24 Combine like terms: 6x + 1x = 7x 21 + 7x = 24 Solving 21 + 7x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7x = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 24 + -21 7x = 24 + -21 Combine like terms: 24 + -21 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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