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