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