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Simplifying 8x + -1(5 + -4x) = 6 + -1(4x + 9) 8x + (5 * -1 + -4x * -1) = 6 + -1(4x + 9) 8x + (-5 + 4x) = 6 + -1(4x + 9) Reorder the terms: -5 + 8x + 4x = 6 + -1(4x + 9) Combine like terms: 8x + 4x = 12x -5 + 12x = 6 + -1(4x + 9) Reorder the terms: -5 + 12x = 6 + -1(9 + 4x) -5 + 12x = 6 + (9 * -1 + 4x * -1) -5 + 12x = 6 + (-9 + -4x) Combine like terms: 6 + -9 = -3 -5 + 12x = -3 + -4x Solving -5 + 12x = -3 + -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. -5 + 12x + 4x = -3 + -4x + 4x Combine like terms: 12x + 4x = 16x -5 + 16x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 16x = -3 + 0 -5 + 16x = -3 Add '5' to each side of the equation. -5 + 5 + 16x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 16x = -3 + 5 16x = -3 + 5 Combine like terms: -3 + 5 = 2 16x = 2 Divide each side by '16'. x = 0.125 Simplifying x = 0.125
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