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Simplifying 3(x + -8) = 8x + 21 Reorder the terms: 3(-8 + x) = 8x + 21 (-8 * 3 + x * 3) = 8x + 21 (-24 + 3x) = 8x + 21 Reorder the terms: -24 + 3x = 21 + 8x Solving -24 + 3x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 3x + -8x = 21 + 8x + -8x Combine like terms: 3x + -8x = -5x -24 + -5x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -5x = 21 + 0 -24 + -5x = 21 Add '24' to each side of the equation. -24 + 24 + -5x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 21 + 24 -5x = 21 + 24 Combine like terms: 21 + 24 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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