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Simplifying 8x + -1(6 + -1x) = 5(x + -1) 8x + (6 * -1 + -1x * -1) = 5(x + -1) 8x + (-6 + 1x) = 5(x + -1) Reorder the terms: -6 + 8x + 1x = 5(x + -1) Combine like terms: 8x + 1x = 9x -6 + 9x = 5(x + -1) Reorder the terms: -6 + 9x = 5(-1 + x) -6 + 9x = (-1 * 5 + x * 5) -6 + 9x = (-5 + 5x) Solving -6 + 9x = -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. -6 + 9x + -5x = -5 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = -5 + 0 -6 + 4x = -5 Add '6' to each side of the equation. -6 + 6 + 4x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -5 + 6 4x = -5 + 6 Combine like terms: -5 + 6 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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