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