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Simplifying (x + -4) + -1(3x + 2) = 0 Reorder the terms: (-4 + x) + -1(3x + 2) = 0 Remove parenthesis around (-4 + x) -4 + x + -1(3x + 2) = 0 Reorder the terms: -4 + x + -1(2 + 3x) = 0 -4 + x + (2 * -1 + 3x * -1) = 0 -4 + x + (-2 + -3x) = 0 Reorder the terms: -4 + -2 + x + -3x = 0 Combine like terms: -4 + -2 = -6 -6 + x + -3x = 0 Combine like terms: x + -3x = -2x -6 + -2x = 0 Solving -6 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 0 + 6 -2x = 0 + 6 Combine like terms: 0 + 6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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