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Simplifying 6 + -2(4 + -2x) = 8 + -3(x + -1) 6 + (4 * -2 + -2x * -2) = 8 + -3(x + -1) 6 + (-8 + 4x) = 8 + -3(x + -1) Combine like terms: 6 + -8 = -2 -2 + 4x = 8 + -3(x + -1) Reorder the terms: -2 + 4x = 8 + -3(-1 + x) -2 + 4x = 8 + (-1 * -3 + x * -3) -2 + 4x = 8 + (3 + -3x) Combine like terms: 8 + 3 = 11 -2 + 4x = 11 + -3x Solving -2 + 4x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 4x + 3x = 11 + -3x + 3x Combine like terms: 4x + 3x = 7x -2 + 7x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 7x = 11 + 0 -2 + 7x = 11 Add '2' to each side of the equation. -2 + 2 + 7x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 11 + 2 7x = 11 + 2 Combine like terms: 11 + 2 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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