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Simplifying 4x + -5 + -6x = 2x + -1(4x + 5) Reorder the terms: -5 + 4x + -6x = 2x + -1(4x + 5) Combine like terms: 4x + -6x = -2x -5 + -2x = 2x + -1(4x + 5) Reorder the terms: -5 + -2x = 2x + -1(5 + 4x) -5 + -2x = 2x + (5 * -1 + 4x * -1) -5 + -2x = 2x + (-5 + -4x) Reorder the terms: -5 + -2x = -5 + 2x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = -5 + -2x Add '5' to each side of the equation. -5 + 5 + -2x = -5 + 5 + -2x Combine like terms: -5 + 5 = 0 0 + -2x = -5 + 5 + -2x -2x = -5 + 5 + -2x Combine like terms: -5 + 5 = 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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