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Simplifying 3(2x + -9) = 4(x + 8) Reorder the terms: 3(-9 + 2x) = 4(x + 8) (-9 * 3 + 2x * 3) = 4(x + 8) (-27 + 6x) = 4(x + 8) Reorder the terms: -27 + 6x = 4(8 + x) -27 + 6x = (8 * 4 + x * 4) -27 + 6x = (32 + 4x) Solving -27 + 6x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 6x + -4x = 32 + 4x + -4x Combine like terms: 6x + -4x = 2x -27 + 2x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 2x = 32 + 0 -27 + 2x = 32 Add '27' to each side of the equation. -27 + 27 + 2x = 32 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 32 + 27 2x = 32 + 27 Combine like terms: 32 + 27 = 59 2x = 59 Divide each side by '2'. x = 29.5 Simplifying x = 29.5
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