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Simplifying 2(1 + -8x) = -11(x + -7) (1 * 2 + -8x * 2) = -11(x + -7) (2 + -16x) = -11(x + -7) Reorder the terms: 2 + -16x = -11(-7 + x) 2 + -16x = (-7 * -11 + x * -11) 2 + -16x = (77 + -11x) Solving 2 + -16x = 77 + -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 + -16x + 11x = 77 + -11x + 11x Combine like terms: -16x + 11x = -5x 2 + -5x = 77 + -11x + 11x Combine like terms: -11x + 11x = 0 2 + -5x = 77 + 0 2 + -5x = 77 Add '-2' to each side of the equation. 2 + -2 + -5x = 77 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 77 + -2 -5x = 77 + -2 Combine like terms: 77 + -2 = 75 -5x = 75 Divide each side by '-5'. x = -15 Simplifying x = -15
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