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