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Simplifying 9x + -1 + 11x = 7(11 + x) Reorder the terms: -1 + 9x + 11x = 7(11 + x) Combine like terms: 9x + 11x = 20x -1 + 20x = 7(11 + x) -1 + 20x = (11 * 7 + x * 7) -1 + 20x = (77 + 7x) Solving -1 + 20x = 77 + 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 + 20x + -7x = 77 + 7x + -7x Combine like terms: 20x + -7x = 13x -1 + 13x = 77 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 13x = 77 + 0 -1 + 13x = 77 Add '1' to each side of the equation. -1 + 1 + 13x = 77 + 1 Combine like terms: -1 + 1 = 0 0 + 13x = 77 + 1 13x = 77 + 1 Combine like terms: 77 + 1 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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