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