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Simplifying 5x + 9 + 3(2x + -1) = 2x + 24 Reorder the terms: 5x + 9 + 3(-1 + 2x) = 2x + 24 5x + 9 + (-1 * 3 + 2x * 3) = 2x + 24 5x + 9 + (-3 + 6x) = 2x + 24 Reorder the terms: 9 + -3 + 5x + 6x = 2x + 24 Combine like terms: 9 + -3 = 6 6 + 5x + 6x = 2x + 24 Combine like terms: 5x + 6x = 11x 6 + 11x = 2x + 24 Reorder the terms: 6 + 11x = 24 + 2x Solving 6 + 11x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 11x + -2x = 24 + 2x + -2x Combine like terms: 11x + -2x = 9x 6 + 9x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 9x = 24 + 0 6 + 9x = 24 Add '-6' to each side of the equation. 6 + -6 + 9x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 24 + -6 9x = 24 + -6 Combine like terms: 24 + -6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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