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Simplifying 6(x + 6) = 9x + 11(9x + -6) Reorder the terms: 6(6 + x) = 9x + 11(9x + -6) (6 * 6 + x * 6) = 9x + 11(9x + -6) (36 + 6x) = 9x + 11(9x + -6) Reorder the terms: 36 + 6x = 9x + 11(-6 + 9x) 36 + 6x = 9x + (-6 * 11 + 9x * 11) 36 + 6x = 9x + (-66 + 99x) Reorder the terms: 36 + 6x = -66 + 9x + 99x Combine like terms: 9x + 99x = 108x 36 + 6x = -66 + 108x Solving 36 + 6x = -66 + 108x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108x' to each side of the equation. 36 + 6x + -108x = -66 + 108x + -108x Combine like terms: 6x + -108x = -102x 36 + -102x = -66 + 108x + -108x Combine like terms: 108x + -108x = 0 36 + -102x = -66 + 0 36 + -102x = -66 Add '-36' to each side of the equation. 36 + -36 + -102x = -66 + -36 Combine like terms: 36 + -36 = 0 0 + -102x = -66 + -36 -102x = -66 + -36 Combine like terms: -66 + -36 = -102 -102x = -102 Divide each side by '-102'. x = 1 Simplifying x = 1
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