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Simplifying 9(3x + -4) = 5(x + 2) + 16 Reorder the terms: 9(-4 + 3x) = 5(x + 2) + 16 (-4 * 9 + 3x * 9) = 5(x + 2) + 16 (-36 + 27x) = 5(x + 2) + 16 Reorder the terms: -36 + 27x = 5(2 + x) + 16 -36 + 27x = (2 * 5 + x * 5) + 16 -36 + 27x = (10 + 5x) + 16 Reorder the terms: -36 + 27x = 10 + 16 + 5x Combine like terms: 10 + 16 = 26 -36 + 27x = 26 + 5x Solving -36 + 27x = 26 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 27x + -5x = 26 + 5x + -5x Combine like terms: 27x + -5x = 22x -36 + 22x = 26 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 22x = 26 + 0 -36 + 22x = 26 Add '36' to each side of the equation. -36 + 36 + 22x = 26 + 36 Combine like terms: -36 + 36 = 0 0 + 22x = 26 + 36 22x = 26 + 36 Combine like terms: 26 + 36 = 62 22x = 62 Divide each side by '22'. x = 2.818181818 Simplifying x = 2.818181818
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