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Simplifying 3x + -1(2 + -1x) + 4x = 7x + -2 + -1(-1x) 3x + (2 * -1 + -1x * -1) + 4x = 7x + -2 + -1(-1x) 3x + (-2 + 1x) + 4x = 7x + -2 + -1(-1x) Reorder the terms: -2 + 3x + 1x + 4x = 7x + -2 + -1(-1x) Combine like terms: 3x + 1x = 4x -2 + 4x + 4x = 7x + -2 + -1(-1x) Combine like terms: 4x + 4x = 8x -2 + 8x = 7x + -2 + -1(-1x) Remove parenthesis around (-1x) -2 + 8x = 7x + -2 + -1 * -1x Multiply -1 * -1 -2 + 8x = 7x + -2 + 1x Reorder the terms: -2 + 8x = -2 + 7x + 1x Combine like terms: 7x + 1x = 8x -2 + 8x = -2 + 8x Add '2' to each side of the equation. -2 + 2 + 8x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 0 + 8x = -2 + 2 + 8x 8x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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