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