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Simplifying (3x + -2) + -8x = 8x + -1(4x + 1) Reorder the terms: (-2 + 3x) + -8x = 8x + -1(4x + 1) Remove parenthesis around (-2 + 3x) -2 + 3x + -8x = 8x + -1(4x + 1) Combine like terms: 3x + -8x = -5x -2 + -5x = 8x + -1(4x + 1) Reorder the terms: -2 + -5x = 8x + -1(1 + 4x) -2 + -5x = 8x + (1 * -1 + 4x * -1) -2 + -5x = 8x + (-1 + -4x) Reorder the terms: -2 + -5x = -1 + 8x + -4x Combine like terms: 8x + -4x = 4x -2 + -5x = -1 + 4x Solving -2 + -5x = -1 + 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. -2 + -5x + -4x = -1 + 4x + -4x Combine like terms: -5x + -4x = -9x -2 + -9x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -9x = -1 + 0 -2 + -9x = -1 Add '2' to each side of the equation. -2 + 2 + -9x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -1 + 2 -9x = -1 + 2 Combine like terms: -1 + 2 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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