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Simplifying 3(5x + -2) = 5x + 24 Reorder the terms: 3(-2 + 5x) = 5x + 24 (-2 * 3 + 5x * 3) = 5x + 24 (-6 + 15x) = 5x + 24 Reorder the terms: -6 + 15x = 24 + 5x Solving -6 + 15x = 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 + 15x + -5x = 24 + 5x + -5x Combine like terms: 15x + -5x = 10x -6 + 10x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 10x = 24 + 0 -6 + 10x = 24 Add '6' to each side of the equation. -6 + 6 + 10x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 24 + 6 10x = 24 + 6 Combine like terms: 24 + 6 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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