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Simplifying 3(3x + -8) = 5x + 12 Reorder the terms: 3(-8 + 3x) = 5x + 12 (-8 * 3 + 3x * 3) = 5x + 12 (-24 + 9x) = 5x + 12 Reorder the terms: -24 + 9x = 12 + 5x Solving -24 + 9x = 12 + 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. -24 + 9x + -5x = 12 + 5x + -5x Combine like terms: 9x + -5x = 4x -24 + 4x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 4x = 12 + 0 -24 + 4x = 12 Add '24' to each side of the equation. -24 + 24 + 4x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 12 + 24 4x = 12 + 24 Combine like terms: 12 + 24 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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