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Simplifying 3(5x + 3) + -24 = 9x + 3 Reorder the terms: 3(3 + 5x) + -24 = 9x + 3 (3 * 3 + 5x * 3) + -24 = 9x + 3 (9 + 15x) + -24 = 9x + 3 Reorder the terms: 9 + -24 + 15x = 9x + 3 Combine like terms: 9 + -24 = -15 -15 + 15x = 9x + 3 Reorder the terms: -15 + 15x = 3 + 9x Solving -15 + 15x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 15x + -9x = 3 + 9x + -9x Combine like terms: 15x + -9x = 6x -15 + 6x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 6x = 3 + 0 -15 + 6x = 3 Add '15' to each side of the equation. -15 + 15 + 6x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 3 + 15 6x = 3 + 15 Combine like terms: 3 + 15 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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