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Simplifying 9(2 + -2x) = -1(7x + 1) (2 * 9 + -2x * 9) = -1(7x + 1) (18 + -18x) = -1(7x + 1) Reorder the terms: 18 + -18x = -1(1 + 7x) 18 + -18x = (1 * -1 + 7x * -1) 18 + -18x = (-1 + -7x) Solving 18 + -18x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 18 + -18x + 7x = -1 + -7x + 7x Combine like terms: -18x + 7x = -11x 18 + -11x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 18 + -11x = -1 + 0 18 + -11x = -1 Add '-18' to each side of the equation. 18 + -18 + -11x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -1 + -18 -11x = -1 + -18 Combine like terms: -1 + -18 = -19 -11x = -19 Divide each side by '-11'. x = 1.727272727 Simplifying x = 1.727272727
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