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Simplifying 11(11x + 7) = 12(-12 + 9x) Reorder the terms: 11(7 + 11x) = 12(-12 + 9x) (7 * 11 + 11x * 11) = 12(-12 + 9x) (77 + 121x) = 12(-12 + 9x) 77 + 121x = (-12 * 12 + 9x * 12) 77 + 121x = (-144 + 108x) Solving 77 + 121x = -144 + 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. 77 + 121x + -108x = -144 + 108x + -108x Combine like terms: 121x + -108x = 13x 77 + 13x = -144 + 108x + -108x Combine like terms: 108x + -108x = 0 77 + 13x = -144 + 0 77 + 13x = -144 Add '-77' to each side of the equation. 77 + -77 + 13x = -144 + -77 Combine like terms: 77 + -77 = 0 0 + 13x = -144 + -77 13x = -144 + -77 Combine like terms: -144 + -77 = -221 13x = -221 Divide each side by '13'. x = -17 Simplifying x = -17
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