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