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