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Simplifying 8(-2x + 1) = -5(x + 1) Reorder the terms: 8(1 + -2x) = -5(x + 1) (1 * 8 + -2x * 8) = -5(x + 1) (8 + -16x) = -5(x + 1) Reorder the terms: 8 + -16x = -5(1 + x) 8 + -16x = (1 * -5 + x * -5) 8 + -16x = (-5 + -5x) Solving 8 + -16x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + -16x + 5x = -5 + -5x + 5x Combine like terms: -16x + 5x = -11x 8 + -11x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + -11x = -5 + 0 8 + -11x = -5 Add '-8' to each side of the equation. 8 + -8 + -11x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -5 + -8 -11x = -5 + -8 Combine like terms: -5 + -8 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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