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Simplifying (9x + -1) + -1(1 + -4x) = (2x + 8) + (9x + 10) Reorder the terms: (-1 + 9x) + -1(1 + -4x) = (2x + 8) + (9x + 10) Remove parenthesis around (-1 + 9x) -1 + 9x + -1(1 + -4x) = (2x + 8) + (9x + 10) -1 + 9x + (1 * -1 + -4x * -1) = (2x + 8) + (9x + 10) -1 + 9x + (-1 + 4x) = (2x + 8) + (9x + 10) Reorder the terms: -1 + -1 + 9x + 4x = (2x + 8) + (9x + 10) Combine like terms: -1 + -1 = -2 -2 + 9x + 4x = (2x + 8) + (9x + 10) Combine like terms: 9x + 4x = 13x -2 + 13x = (2x + 8) + (9x + 10) Reorder the terms: -2 + 13x = (8 + 2x) + (9x + 10) Remove parenthesis around (8 + 2x) -2 + 13x = 8 + 2x + (9x + 10) Reorder the terms: -2 + 13x = 8 + 2x + (10 + 9x) Remove parenthesis around (10 + 9x) -2 + 13x = 8 + 2x + 10 + 9x Reorder the terms: -2 + 13x = 8 + 10 + 2x + 9x Combine like terms: 8 + 10 = 18 -2 + 13x = 18 + 2x + 9x Combine like terms: 2x + 9x = 11x -2 + 13x = 18 + 11x Solving -2 + 13x = 18 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 13x + -11x = 18 + 11x + -11x Combine like terms: 13x + -11x = 2x -2 + 2x = 18 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + 2x = 18 + 0 -2 + 2x = 18 Add '2' to each side of the equation. -2 + 2 + 2x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 18 + 2 2x = 18 + 2 Combine like terms: 18 + 2 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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