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Simplifying -1 + -1x = -7x + -1(1 + -6x) -1 + -1x = -7x + (1 * -1 + -6x * -1) -1 + -1x = -7x + (-1 + 6x) Reorder the terms: -1 + -1x = -1 + -7x + 6x Combine like terms: -7x + 6x = -1x -1 + -1x = -1 + -1x Add '1' to each side of the equation. -1 + 1 + -1x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 0 + -1x = -1 + 1 + -1x -1x = -1 + 1 + -1x Combine like terms: -1 + 1 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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