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Simplifying 3x + -1(2x + -4) = 5 + -3(X + 1) Reorder the terms: 3x + -1(-4 + 2x) = 5 + -3(X + 1) 3x + (-4 * -1 + 2x * -1) = 5 + -3(X + 1) 3x + (4 + -2x) = 5 + -3(X + 1) Reorder the terms: 4 + 3x + -2x = 5 + -3(X + 1) Combine like terms: 3x + -2x = 1x 4 + 1x = 5 + -3(X + 1) Reorder the terms: 4 + 1x = 5 + -3(1 + X) 4 + 1x = 5 + (1 * -3 + X * -3) 4 + 1x = 5 + (-3 + -3X) Combine like terms: 5 + -3 = 2 4 + 1x = 2 + -3X Solving 4 + 1x = 2 + -3X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = 2 + -4 + -3X Combine like terms: 4 + -4 = 0 0 + 1x = 2 + -4 + -3X 1x = 2 + -4 + -3X Combine like terms: 2 + -4 = -2 1x = -2 + -3X Divide each side by '1'. x = -2 + -3X Simplifying x = -2 + -3X
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