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Simplifying (3 + x) + -1(1 + -1x) = 2x + 2 Remove parenthesis around (3 + x) 3 + x + -1(1 + -1x) = 2x + 2 3 + x + (1 * -1 + -1x * -1) = 2x + 2 3 + x + (-1 + 1x) = 2x + 2 Reorder the terms: 3 + -1 + x + 1x = 2x + 2 Combine like terms: 3 + -1 = 2 2 + x + 1x = 2x + 2 Combine like terms: x + 1x = 2x 2 + 2x = 2x + 2 Reorder the terms: 2 + 2x = 2 + 2x Add '-2' to each side of the equation. 2 + -2 + 2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 2x = 2 + -2 + 2x 2x = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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