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