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Simplifying 3(x + -8) = 9(4 + -1x) Reorder the terms: 3(-8 + x) = 9(4 + -1x) (-8 * 3 + x * 3) = 9(4 + -1x) (-24 + 3x) = 9(4 + -1x) -24 + 3x = (4 * 9 + -1x * 9) -24 + 3x = (36 + -9x) Solving -24 + 3x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + 3x + 9x = 36 + -9x + 9x Combine like terms: 3x + 9x = 12x -24 + 12x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 12x = 36 + 0 -24 + 12x = 36 Add '24' to each side of the equation. -24 + 24 + 12x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 36 + 24 12x = 36 + 24 Combine like terms: 36 + 24 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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