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