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Simplifying 8x + -1x + 1 = 5x + 2 + 2x + -1 Reorder the terms: 1 + 8x + -1x = 5x + 2 + 2x + -1 Combine like terms: 8x + -1x = 7x 1 + 7x = 5x + 2 + 2x + -1 Reorder the terms: 1 + 7x = 2 + -1 + 5x + 2x Combine like terms: 2 + -1 = 1 1 + 7x = 1 + 5x + 2x Combine like terms: 5x + 2x = 7x 1 + 7x = 1 + 7x Add '-1' to each side of the equation. 1 + -1 + 7x = 1 + -1 + 7x Combine like terms: 1 + -1 = 0 0 + 7x = 1 + -1 + 7x 7x = 1 + -1 + 7x Combine like terms: 1 + -1 = 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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