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Simplifying 5x + -1(2x + 4) = 4x + (x + 2) Reorder the terms: 5x + -1(4 + 2x) = 4x + (x + 2) 5x + (4 * -1 + 2x * -1) = 4x + (x + 2) 5x + (-4 + -2x) = 4x + (x + 2) Reorder the terms: -4 + 5x + -2x = 4x + (x + 2) Combine like terms: 5x + -2x = 3x -4 + 3x = 4x + (x + 2) Reorder the terms: -4 + 3x = 4x + (2 + x) Remove parenthesis around (2 + x) -4 + 3x = 4x + 2 + x Reorder the terms: -4 + 3x = 2 + 4x + x Combine like terms: 4x + x = 5x -4 + 3x = 2 + 5x Solving -4 + 3x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = 2 + 0 -4 + -2x = 2 Add '4' to each side of the equation. -4 + 4 + -2x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 2 + 4 -2x = 2 + 4 Combine like terms: 2 + 4 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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