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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 = -2 -2 + -2x = 11x + -5(1 + -1x) -2 + -2x = 11x + (1 * -5 + -1x * -5) -2 + -2x = 11x + (-5 + 5x) Reorder the terms: -2 + -2x = -5 + 11x + 5x Combine like terms: 11x + 5x = 16x -2 + -2x = -5 + 16x Solving -2 + -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. -2 + -2x + -16x = -5 + 16x + -16x Combine like terms: -2x + -16x = -18x -2 + -18x = -5 + 16x + -16x Combine like terms: 16x + -16x = 0 -2 + -18x = -5 + 0 -2 + -18x = -5 Add '2' to each side of the equation. -2 + 2 + -18x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -18x = -5 + 2 -18x = -5 + 2 Combine like terms: -5 + 2 = -3 -18x = -3 Divide each side by '-18'. x = 0.1666666667 Simplifying x = 0.1666666667
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