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Simplifying -1(x + 1) + -1(3x + 1) = 0 Reorder the terms: -1(1 + x) + -1(3x + 1) = 0 (1 * -1 + x * -1) + -1(3x + 1) = 0 (-1 + -1x) + -1(3x + 1) = 0 Reorder the terms: -1 + -1x + -1(1 + 3x) = 0 -1 + -1x + (1 * -1 + 3x * -1) = 0 -1 + -1x + (-1 + -3x) = 0 Reorder the terms: -1 + -1 + -1x + -3x = 0 Combine like terms: -1 + -1 = -2 -2 + -1x + -3x = 0 Combine like terms: -1x + -3x = -4x -2 + -4x = 0 Solving -2 + -4x = 0 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 + -4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 0 + 2 -4x = 0 + 2 Combine like terms: 0 + 2 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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