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