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Simplifying 7x + -7 + 8x + 6 = 7x + 7 + 8x + -8 Reorder the terms: -7 + 6 + 7x + 8x = 7x + 7 + 8x + -8 Combine like terms: -7 + 6 = -1 -1 + 7x + 8x = 7x + 7 + 8x + -8 Combine like terms: 7x + 8x = 15x -1 + 15x = 7x + 7 + 8x + -8 Reorder the terms: -1 + 15x = 7 + -8 + 7x + 8x Combine like terms: 7 + -8 = -1 -1 + 15x = -1 + 7x + 8x Combine like terms: 7x + 8x = 15x -1 + 15x = -1 + 15x Add '1' to each side of the equation. -1 + 1 + 15x = -1 + 1 + 15x Combine like terms: -1 + 1 = 0 0 + 15x = -1 + 1 + 15x 15x = -1 + 1 + 15x Combine like terms: -1 + 1 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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