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Simplifying -1(1 + 5x) = 11x + -9(2x + 5) (1 * -1 + 5x * -1) = 11x + -9(2x + 5) (-1 + -5x) = 11x + -9(2x + 5) Reorder the terms: -1 + -5x = 11x + -9(5 + 2x) -1 + -5x = 11x + (5 * -9 + 2x * -9) -1 + -5x = 11x + (-45 + -18x) Reorder the terms: -1 + -5x = -45 + 11x + -18x Combine like terms: 11x + -18x = -7x -1 + -5x = -45 + -7x Solving -1 + -5x = -45 + -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. -1 + -5x + 7x = -45 + -7x + 7x Combine like terms: -5x + 7x = 2x -1 + 2x = -45 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 2x = -45 + 0 -1 + 2x = -45 Add '1' to each side of the equation. -1 + 1 + 2x = -45 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -45 + 1 2x = -45 + 1 Combine like terms: -45 + 1 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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