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Simplifying 6x + -1(-4x + 2) = (x + -1) + -5(7x + -8) Reorder the terms: 6x + -1(2 + -4x) = (x + -1) + -5(7x + -8) 6x + (2 * -1 + -4x * -1) = (x + -1) + -5(7x + -8) 6x + (-2 + 4x) = (x + -1) + -5(7x + -8) Reorder the terms: -2 + 6x + 4x = (x + -1) + -5(7x + -8) Combine like terms: 6x + 4x = 10x -2 + 10x = (x + -1) + -5(7x + -8) Reorder the terms: -2 + 10x = (-1 + x) + -5(7x + -8) Remove parenthesis around (-1 + x) -2 + 10x = -1 + x + -5(7x + -8) Reorder the terms: -2 + 10x = -1 + x + -5(-8 + 7x) -2 + 10x = -1 + x + (-8 * -5 + 7x * -5) -2 + 10x = -1 + x + (40 + -35x) Reorder the terms: -2 + 10x = -1 + 40 + x + -35x Combine like terms: -1 + 40 = 39 -2 + 10x = 39 + x + -35x Combine like terms: x + -35x = -34x -2 + 10x = 39 + -34x Solving -2 + 10x = 39 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -2 + 10x + 34x = 39 + -34x + 34x Combine like terms: 10x + 34x = 44x -2 + 44x = 39 + -34x + 34x Combine like terms: -34x + 34x = 0 -2 + 44x = 39 + 0 -2 + 44x = 39 Add '2' to each side of the equation. -2 + 2 + 44x = 39 + 2 Combine like terms: -2 + 2 = 0 0 + 44x = 39 + 2 44x = 39 + 2 Combine like terms: 39 + 2 = 41 44x = 41 Divide each side by '44'. x = 0.9318181818 Simplifying x = 0.9318181818
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