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Simplifying 6(9 + -6x + -6x) + 9(7x + 7) = 27 Combine like terms: -6x + -6x = -12x 6(9 + -12x) + 9(7x + 7) = 27 (9 * 6 + -12x * 6) + 9(7x + 7) = 27 (54 + -72x) + 9(7x + 7) = 27 Reorder the terms: 54 + -72x + 9(7 + 7x) = 27 54 + -72x + (7 * 9 + 7x * 9) = 27 54 + -72x + (63 + 63x) = 27 Reorder the terms: 54 + 63 + -72x + 63x = 27 Combine like terms: 54 + 63 = 117 117 + -72x + 63x = 27 Combine like terms: -72x + 63x = -9x 117 + -9x = 27 Solving 117 + -9x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-117' to each side of the equation. 117 + -117 + -9x = 27 + -117 Combine like terms: 117 + -117 = 0 0 + -9x = 27 + -117 -9x = 27 + -117 Combine like terms: 27 + -117 = -90 -9x = -90 Divide each side by '-9'. x = 10 Simplifying x = 10
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