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Simplifying 5x + 5 + -7x = 15 + -12x + 10x + -10 Reorder the terms: 5 + 5x + -7x = 15 + -12x + 10x + -10 Combine like terms: 5x + -7x = -2x 5 + -2x = 15 + -12x + 10x + -10 Reorder the terms: 5 + -2x = 15 + -10 + -12x + 10x Combine like terms: 15 + -10 = 5 5 + -2x = 5 + -12x + 10x Combine like terms: -12x + 10x = -2x 5 + -2x = 5 + -2x Add '-5' to each side of the equation. 5 + -5 + -2x = 5 + -5 + -2x Combine like terms: 5 + -5 = 0 0 + -2x = 5 + -5 + -2x -2x = 5 + -5 + -2x Combine like terms: 5 + -5 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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