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Simplifying 3(5x + -8) = 3x Reorder the terms: 3(-8 + 5x) = 3x (-8 * 3 + 5x * 3) = 3x (-24 + 15x) = 3x Solving -24 + 15x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 15x + -3x = 3x + -3x Combine like terms: 15x + -3x = 12x -24 + 12x = 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 12x = 0 Add '24' to each side of the equation. -24 + 24 + 12x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 0 + 24 12x = 0 + 24 Combine like terms: 0 + 24 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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