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Simplifying 3(3x + -8) = 4x + 16 Reorder the terms: 3(-8 + 3x) = 4x + 16 (-8 * 3 + 3x * 3) = 4x + 16 (-24 + 9x) = 4x + 16 Reorder the terms: -24 + 9x = 16 + 4x Solving -24 + 9x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 9x + -4x = 16 + 4x + -4x Combine like terms: 9x + -4x = 5x -24 + 5x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 5x = 16 + 0 -24 + 5x = 16 Add '24' to each side of the equation. -24 + 24 + 5x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 16 + 24 5x = 16 + 24 Combine like terms: 16 + 24 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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