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Simplifying 7x + 1 + -8x = 8 + -1(x + 7) Reorder the terms: 1 + 7x + -8x = 8 + -1(x + 7) Combine like terms: 7x + -8x = -1x 1 + -1x = 8 + -1(x + 7) Reorder the terms: 1 + -1x = 8 + -1(7 + x) 1 + -1x = 8 + (7 * -1 + x * -1) 1 + -1x = 8 + (-7 + -1x) Combine like terms: 8 + -7 = 1 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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