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Simplifying (X + 3) + -1(1 + -3x) = 2 + 2x Reorder the terms: (3 + X) + -1(1 + -3x) = 2 + 2x Remove parenthesis around (3 + X) 3 + X + -1(1 + -3x) = 2 + 2x 3 + X + (1 * -1 + -3x * -1) = 2 + 2x 3 + X + (-1 + 3x) = 2 + 2x Reorder the terms: 3 + -1 + X + 3x = 2 + 2x Combine like terms: 3 + -1 = 2 2 + X + 3x = 2 + 2x Add '-2' to each side of the equation. 2 + X + -2 + 3x = 2 + -2 + 2x Reorder the terms: 2 + -2 + X + 3x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + X + 3x = 2 + -2 + 2x X + 3x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 X + 3x = 0 + 2x X + 3x = 2x Solving X + 3x = 2x 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. X + 3x + -3x = 2x + -3x Combine like terms: 3x + -3x = 0 X + 0 = 2x + -3x X = 2x + -3x Combine like terms: 2x + -3x = -1x X = -1x Simplifying X = -1x
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