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Simplifying -1(6x + 6) + -1 = -5x + -1(x + 7) Reorder the terms: -1(6 + 6x) + -1 = -5x + -1(x + 7) (6 * -1 + 6x * -1) + -1 = -5x + -1(x + 7) (-6 + -6x) + -1 = -5x + -1(x + 7) Reorder the terms: -6 + -1 + -6x = -5x + -1(x + 7) Combine like terms: -6 + -1 = -7 -7 + -6x = -5x + -1(x + 7) Reorder the terms: -7 + -6x = -5x + -1(7 + x) -7 + -6x = -5x + (7 * -1 + x * -1) -7 + -6x = -5x + (-7 + -1x) Reorder the terms: -7 + -6x = -7 + -5x + -1x Combine like terms: -5x + -1x = -6x -7 + -6x = -7 + -6x Add '7' to each side of the equation. -7 + 7 + -6x = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 0 + -6x = -7 + 7 + -6x -6x = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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