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