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Simplifying 2(1 + x) + -3(2 + -1x) = 5(x + -1) + 1 (1 * 2 + x * 2) + -3(2 + -1x) = 5(x + -1) + 1 (2 + 2x) + -3(2 + -1x) = 5(x + -1) + 1 2 + 2x + (2 * -3 + -1x * -3) = 5(x + -1) + 1 2 + 2x + (-6 + 3x) = 5(x + -1) + 1 Reorder the terms: 2 + -6 + 2x + 3x = 5(x + -1) + 1 Combine like terms: 2 + -6 = -4 -4 + 2x + 3x = 5(x + -1) + 1 Combine like terms: 2x + 3x = 5x -4 + 5x = 5(x + -1) + 1 Reorder the terms: -4 + 5x = 5(-1 + x) + 1 -4 + 5x = (-1 * 5 + x * 5) + 1 -4 + 5x = (-5 + 5x) + 1 Reorder the terms: -4 + 5x = -5 + 1 + 5x Combine like terms: -5 + 1 = -4 -4 + 5x = -4 + 5x Add '4' to each side of the equation. -4 + 4 + 5x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + 5x = -4 + 4 + 5x 5x = -4 + 4 + 5x Combine like terms: -4 + 4 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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