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Simplifying x + 2(x + -2) + 3 = 3(x + -1) + 2 Reorder the terms: x + 2(-2 + x) + 3 = 3(x + -1) + 2 x + (-2 * 2 + x * 2) + 3 = 3(x + -1) + 2 x + (-4 + 2x) + 3 = 3(x + -1) + 2 Reorder the terms: -4 + 3 + x + 2x = 3(x + -1) + 2 Combine like terms: -4 + 3 = -1 -1 + x + 2x = 3(x + -1) + 2 Combine like terms: x + 2x = 3x -1 + 3x = 3(x + -1) + 2 Reorder the terms: -1 + 3x = 3(-1 + x) + 2 -1 + 3x = (-1 * 3 + x * 3) + 2 -1 + 3x = (-3 + 3x) + 2 Reorder the terms: -1 + 3x = -3 + 2 + 3x Combine like terms: -3 + 2 = -1 -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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