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Simplifying 3x + -7 + 7x + 6 = 6x + 7 + 4x + -8 Reorder the terms: -7 + 6 + 3x + 7x = 6x + 7 + 4x + -8 Combine like terms: -7 + 6 = -1 -1 + 3x + 7x = 6x + 7 + 4x + -8 Combine like terms: 3x + 7x = 10x -1 + 10x = 6x + 7 + 4x + -8 Reorder the terms: -1 + 10x = 7 + -8 + 6x + 4x Combine like terms: 7 + -8 = -1 -1 + 10x = -1 + 6x + 4x Combine like terms: 6x + 4x = 10x -1 + 10x = -1 + 10x Add '1' to each side of the equation. -1 + 1 + 10x = -1 + 1 + 10x Combine like terms: -1 + 1 = 0 0 + 10x = -1 + 1 + 10x 10x = -1 + 1 + 10x Combine like terms: -1 + 1 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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