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