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Simplifying -3x + (8x + -1) = 6 + -1(2x + 4) Reorder the terms: -3x + (-1 + 8x) = 6 + -1(2x + 4) Remove parenthesis around (-1 + 8x) -3x + -1 + 8x = 6 + -1(2x + 4) Reorder the terms: -1 + -3x + 8x = 6 + -1(2x + 4) Combine like terms: -3x + 8x = 5x -1 + 5x = 6 + -1(2x + 4) Reorder the terms: -1 + 5x = 6 + -1(4 + 2x) -1 + 5x = 6 + (4 * -1 + 2x * -1) -1 + 5x = 6 + (-4 + -2x) Combine like terms: 6 + -4 = 2 -1 + 5x = 2 + -2x Solving -1 + 5x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 5x + 2x = 2 + -2x + 2x Combine like terms: 5x + 2x = 7x -1 + 7x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 7x = 2 + 0 -1 + 7x = 2 Add '1' to each side of the equation. -1 + 1 + 7x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 2 + 1 7x = 2 + 1 Combine like terms: 2 + 1 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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