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Simplifying 7 + -1(2x + -9) = 11x + -5(1 + -1x) Reorder the terms: 7 + -1(-9 + 2x) = 11x + -5(1 + -1x) 7 + (-9 * -1 + 2x * -1) = 11x + -5(1 + -1x) 7 + (9 + -2x) = 11x + -5(1 + -1x) Combine like terms: 7 + 9 = 16 16 + -2x = 11x + -5(1 + -1x) 16 + -2x = 11x + (1 * -5 + -1x * -5) 16 + -2x = 11x + (-5 + 5x) Reorder the terms: 16 + -2x = -5 + 11x + 5x Combine like terms: 11x + 5x = 16x 16 + -2x = -5 + 16x Solving 16 + -2x = -5 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 16 + -2x + -16x = -5 + 16x + -16x Combine like terms: -2x + -16x = -18x 16 + -18x = -5 + 16x + -16x Combine like terms: 16x + -16x = 0 16 + -18x = -5 + 0 16 + -18x = -5 Add '-16' to each side of the equation. 16 + -16 + -18x = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -18x = -5 + -16 -18x = -5 + -16 Combine like terms: -5 + -16 = -21 -18x = -21 Divide each side by '-18'. x = 1.166666667 Simplifying x = 1.166666667
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