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Simplifying 7 + -11(5x + -1) = -12(9 + 6x) + 11x Reorder the terms: 7 + -11(-1 + 5x) = -12(9 + 6x) + 11x 7 + (-1 * -11 + 5x * -11) = -12(9 + 6x) + 11x 7 + (11 + -55x) = -12(9 + 6x) + 11x Combine like terms: 7 + 11 = 18 18 + -55x = -12(9 + 6x) + 11x 18 + -55x = (9 * -12 + 6x * -12) + 11x 18 + -55x = (-108 + -72x) + 11x Combine like terms: -72x + 11x = -61x 18 + -55x = -108 + -61x Solving 18 + -55x = -108 + -61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '61x' to each side of the equation. 18 + -55x + 61x = -108 + -61x + 61x Combine like terms: -55x + 61x = 6x 18 + 6x = -108 + -61x + 61x Combine like terms: -61x + 61x = 0 18 + 6x = -108 + 0 18 + 6x = -108 Add '-18' to each side of the equation. 18 + -18 + 6x = -108 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -108 + -18 6x = -108 + -18 Combine like terms: -108 + -18 = -126 6x = -126 Divide each side by '6'. x = -21 Simplifying x = -21
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