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Simplifying 9(2 + -4x + -2x) + 5(9x + 9) = 27 Combine like terms: -4x + -2x = -6x 9(2 + -6x) + 5(9x + 9) = 27 (2 * 9 + -6x * 9) + 5(9x + 9) = 27 (18 + -54x) + 5(9x + 9) = 27 Reorder the terms: 18 + -54x + 5(9 + 9x) = 27 18 + -54x + (9 * 5 + 9x * 5) = 27 18 + -54x + (45 + 45x) = 27 Reorder the terms: 18 + 45 + -54x + 45x = 27 Combine like terms: 18 + 45 = 63 63 + -54x + 45x = 27 Combine like terms: -54x + 45x = -9x 63 + -9x = 27 Solving 63 + -9x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -9x = 27 + -63 Combine like terms: 63 + -63 = 0 0 + -9x = 27 + -63 -9x = 27 + -63 Combine like terms: 27 + -63 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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