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Simplifying 3(4x + -9) = x + 5 Reorder the terms: 3(-9 + 4x) = x + 5 (-9 * 3 + 4x * 3) = x + 5 (-27 + 12x) = x + 5 Reorder the terms: -27 + 12x = 5 + x Solving -27 + 12x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -27 + 12x + -1x = 5 + x + -1x Combine like terms: 12x + -1x = 11x -27 + 11x = 5 + x + -1x Combine like terms: x + -1x = 0 -27 + 11x = 5 + 0 -27 + 11x = 5 Add '27' to each side of the equation. -27 + 27 + 11x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = 5 + 27 11x = 5 + 27 Combine like terms: 5 + 27 = 32 11x = 32 Divide each side by '11'. x = 2.909090909 Simplifying x = 2.909090909
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