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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 = -29x 6 + -29x = -52 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + -29x = -52 + 0 6 + -29x = -52 Add '-6' to each side of the equation. 6 + -6 + -29x = -52 + -6 Combine like terms: 6 + -6 = 0 0 + -29x = -52 + -6 -29x = -52 + -6 Combine like terms: -52 + -6 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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