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Simplifying 8 + -5(1 + -1x) = -2(3 + 4x) 8 + (1 * -5 + -1x * -5) = -2(3 + 4x) 8 + (-5 + 5x) = -2(3 + 4x) Combine like terms: 8 + -5 = 3 3 + 5x = -2(3 + 4x) 3 + 5x = (3 * -2 + 4x * -2) 3 + 5x = (-6 + -8x) Solving 3 + 5x = -6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + 5x + 8x = -6 + -8x + 8x Combine like terms: 5x + 8x = 13x 3 + 13x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 13x = -6 + 0 3 + 13x = -6 Add '-3' to each side of the equation. 3 + -3 + 13x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = -6 + -3 13x = -6 + -3 Combine like terms: -6 + -3 = -9 13x = -9 Divide each side by '13'. x = -0.6923076923 Simplifying x = -0.6923076923
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