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