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Simplifying (5x + x + (11(-0.09090909091 + -0.5454545455x))) * -1 = 1 (5x + x + ((-0.09090909091 * 11 + -0.5454545455x * 11))) * -1 = 1 (5x + x + ((-1 + -6.000000001x))) * -1 = 1 (5x + x + (-1 + -6.000000001x)) * -1 = 1 Remove parenthesis around (-1 + -6.000000001x) (5x + x + -1 + -6.000000001x) * -1 = 1 Reorder the terms: (-1 + 5x + x + -6.000000001x) * -1 = 1 Combine like terms: 5x + x = 6x (-1 + 6x + -6.000000001x) * -1 = 1 Combine like terms: 6x + -6.000000001x = -0.000000001x (-1 + -0.000000001x) * -1 = 1 Reorder the terms for easier multiplication: -1(-1 + -0.000000001x) = 1 (-1 * -1 + -0.000000001x * -1) = 1 (1 + 0.000000001x) = 1 Add '-1' to each side of the equation. 1 + -1 + 0.000000001x = 1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.000000001x = 1 + -1 0.000000001x = 1 + -1 Combine like terms: 1 + -1 = 0 0.000000001x = 0 Solving 0.000000001x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '0.000000001'. x = 0 Simplifying x = 0
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