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Simplifying -1(7x + 1) + -7 = -6x + -1(x + 8) Reorder the terms: -1(1 + 7x) + -7 = -6x + -1(x + 8) (1 * -1 + 7x * -1) + -7 = -6x + -1(x + 8) (-1 + -7x) + -7 = -6x + -1(x + 8) Reorder the terms: -1 + -7 + -7x = -6x + -1(x + 8) Combine like terms: -1 + -7 = -8 -8 + -7x = -6x + -1(x + 8) Reorder the terms: -8 + -7x = -6x + -1(8 + x) -8 + -7x = -6x + (8 * -1 + x * -1) -8 + -7x = -6x + (-8 + -1x) Reorder the terms: -8 + -7x = -8 + -6x + -1x Combine like terms: -6x + -1x = -7x -8 + -7x = -8 + -7x Add '8' to each side of the equation. -8 + 8 + -7x = -8 + 8 + -7x Combine like terms: -8 + 8 = 0 0 + -7x = -8 + 8 + -7x -7x = -8 + 8 + -7x Combine like terms: -8 + 8 = 0 -7x = 0 + -7x -7x = -7x Add '7x' to each side of the equation. -7x + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 0 = -7x + 7x Combine like terms: -7x + 7x = 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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