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Simplifying 5x + -8x + 7 = 13 + -3x + -6 Reorder the terms: 7 + 5x + -8x = 13 + -3x + -6 Combine like terms: 5x + -8x = -3x 7 + -3x = 13 + -3x + -6 Reorder the terms: 7 + -3x = 13 + -6 + -3x Combine like terms: 13 + -6 = 7 7 + -3x = 7 + -3x Add '-7' to each side of the equation. 7 + -7 + -3x = 7 + -7 + -3x Combine like terms: 7 + -7 = 0 0 + -3x = 7 + -7 + -3x -3x = 7 + -7 + -3x Combine like terms: 7 + -7 = 0 -3x = 0 + -3x -3x = -3x Add '3x' to each side of the equation. -3x + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 0 = -3x + 3x Combine like terms: -3x + 3x = 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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