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Simplifying -2 + 8(1 + -5x) = 11x + -52 -2 + (1 * 8 + -5x * 8) = 11x + -52 -2 + (8 + -40x) = 11x + -52 Combine like terms: -2 + 8 = 6 6 + -40x = 11x + -52 Reorder the terms: 6 + -40x = -52 + 11x Solving 6 + -40x = -52 + 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. 6 + -40x + -11x = -52 + 11x + -11x Combine like terms: -40x + -11x = -51x 6 + -51x = -52 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + -51x = -52 + 0 6 + -51x = -52 Add '-6' to each side of the equation. 6 + -6 + -51x = -52 + -6 Combine like terms: 6 + -6 = 0 0 + -51x = -52 + -6 -51x = -52 + -6 Combine like terms: -52 + -6 = -58 -51x = -58 Divide each side by '-51'. x = 1.137254902 Simplifying x = 1.137254902
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