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Simplifying 8x + -2(x + 1) = (3x + -1) Reorder the terms: 8x + -2(1 + x) = (3x + -1) 8x + (1 * -2 + x * -2) = (3x + -1) 8x + (-2 + -2x) = (3x + -1) Reorder the terms: -2 + 8x + -2x = (3x + -1) Combine like terms: 8x + -2x = 6x -2 + 6x = (3x + -1) Reorder the terms: -2 + 6x = (-1 + 3x) Remove parenthesis around (-1 + 3x) -2 + 6x = -1 + 3x Solving -2 + 6x = -1 + 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 + 6x + -3x = -1 + 3x + -3x Combine like terms: 6x + -3x = 3x -2 + 3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3x = -1 + 0 -2 + 3x = -1 Add '2' to each side of the equation. -2 + 2 + 3x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -1 + 2 3x = -1 + 2 Combine like terms: -1 + 2 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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