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Simplifying 4(9 + -5x + -4x) + 9(3x + 4) = 27 Combine like terms: -5x + -4x = -9x 4(9 + -9x) + 9(3x + 4) = 27 (9 * 4 + -9x * 4) + 9(3x + 4) = 27 (36 + -36x) + 9(3x + 4) = 27 Reorder the terms: 36 + -36x + 9(4 + 3x) = 27 36 + -36x + (4 * 9 + 3x * 9) = 27 36 + -36x + (36 + 27x) = 27 Reorder the terms: 36 + 36 + -36x + 27x = 27 Combine like terms: 36 + 36 = 72 72 + -36x + 27x = 27 Combine like terms: -36x + 27x = -9x 72 + -9x = 27 Solving 72 + -9x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -9x = 27 + -72 Combine like terms: 72 + -72 = 0 0 + -9x = 27 + -72 -9x = 27 + -72 Combine like terms: 27 + -72 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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