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