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Simplifying 2x + 1 + -1(4 + -1x) = 5x + -2 2x + 1 + (4 * -1 + -1x * -1) = 5x + -2 2x + 1 + (-4 + 1x) = 5x + -2 Reorder the terms: 1 + -4 + 2x + 1x = 5x + -2 Combine like terms: 1 + -4 = -3 -3 + 2x + 1x = 5x + -2 Combine like terms: 2x + 1x = 3x -3 + 3x = 5x + -2 Reorder the terms: -3 + 3x = -2 + 5x Solving -3 + 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. -3 + 3x + -5x = -2 + 5x + -5x Combine like terms: 3x + -5x = -2x -3 + -2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -2x = -2 + 0 -3 + -2x = -2 Add '3' to each side of the equation. -3 + 3 + -2x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -2 + 3 -2x = -2 + 3 Combine like terms: -2 + 3 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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