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Simplifying 2x + -1(1 + -2x) = 5 + -3(1 + x) 2x + (1 * -1 + -2x * -1) = 5 + -3(1 + x) 2x + (-1 + 2x) = 5 + -3(1 + x) Reorder the terms: -1 + 2x + 2x = 5 + -3(1 + x) Combine like terms: 2x + 2x = 4x -1 + 4x = 5 + -3(1 + x) -1 + 4x = 5 + (1 * -3 + x * -3) -1 + 4x = 5 + (-3 + -3x) Combine like terms: 5 + -3 = 2 -1 + 4x = 2 + -3x Solving -1 + 4x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + 4x + 3x = 2 + -3x + 3x Combine like terms: 4x + 3x = 7x -1 + 7x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 7x = 2 + 0 -1 + 7x = 2 Add '1' to each side of the equation. -1 + 1 + 7x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 2 + 1 7x = 2 + 1 Combine like terms: 2 + 1 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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