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