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Simplifying 3(2x + -9) = 5 + 8x Reorder the terms: 3(-9 + 2x) = 5 + 8x (-9 * 3 + 2x * 3) = 5 + 8x (-27 + 6x) = 5 + 8x Solving -27 + 6x = 5 + 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. -27 + 6x + -8x = 5 + 8x + -8x Combine like terms: 6x + -8x = -2x -27 + -2x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -2x = 5 + 0 -27 + -2x = 5 Add '27' to each side of the equation. -27 + 27 + -2x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = 5 + 27 -2x = 5 + 27 Combine like terms: 5 + 27 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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