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Simplifying 3(x + -8) = 4(2x + 9) Reorder the terms: 3(-8 + x) = 4(2x + 9) (-8 * 3 + x * 3) = 4(2x + 9) (-24 + 3x) = 4(2x + 9) Reorder the terms: -24 + 3x = 4(9 + 2x) -24 + 3x = (9 * 4 + 2x * 4) -24 + 3x = (36 + 8x) Solving -24 + 3x = 36 + 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 = 36 + 8x + -8x Combine like terms: 3x + -8x = -5x -24 + -5x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + -5x = 36 + 0 -24 + -5x = 36 Add '24' to each side of the equation. -24 + 24 + -5x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 36 + 24 -5x = 36 + 24 Combine like terms: 36 + 24 = 60 -5x = 60 Divide each side by '-5'. x = -12 Simplifying x = -12
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