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Simplifying 9x + 2(x + 3) = 5x + 24 Reorder the terms: 9x + 2(3 + x) = 5x + 24 9x + (3 * 2 + x * 2) = 5x + 24 9x + (6 + 2x) = 5x + 24 Reorder the terms: 6 + 9x + 2x = 5x + 24 Combine like terms: 9x + 2x = 11x 6 + 11x = 5x + 24 Reorder the terms: 6 + 11x = 24 + 5x Solving 6 + 11x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 11x + -5x = 24 + 5x + -5x Combine like terms: 11x + -5x = 6x 6 + 6x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 6x = 24 + 0 6 + 6x = 24 Add '-6' to each side of the equation. 6 + -6 + 6x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 24 + -6 6x = 24 + -6 Combine like terms: 24 + -6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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