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Simplifying 4x + -1(2 + -5x) = 1 + 3(3x + -1) 4x + (2 * -1 + -5x * -1) = 1 + 3(3x + -1) 4x + (-2 + 5x) = 1 + 3(3x + -1) Reorder the terms: -2 + 4x + 5x = 1 + 3(3x + -1) Combine like terms: 4x + 5x = 9x -2 + 9x = 1 + 3(3x + -1) Reorder the terms: -2 + 9x = 1 + 3(-1 + 3x) -2 + 9x = 1 + (-1 * 3 + 3x * 3) -2 + 9x = 1 + (-3 + 9x) Combine like terms: 1 + -3 = -2 -2 + 9x = -2 + 9x Add '2' to each side of the equation. -2 + 2 + 9x = -2 + 2 + 9x Combine like terms: -2 + 2 = 0 0 + 9x = -2 + 2 + 9x 9x = -2 + 2 + 9x Combine like terms: -2 + 2 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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