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Simplifying 2x + 12 + -5x = 19 + -13x + 10x + -7 Reorder the terms: 12 + 2x + -5x = 19 + -13x + 10x + -7 Combine like terms: 2x + -5x = -3x 12 + -3x = 19 + -13x + 10x + -7 Reorder the terms: 12 + -3x = 19 + -7 + -13x + 10x Combine like terms: 19 + -7 = 12 12 + -3x = 12 + -13x + 10x Combine like terms: -13x + 10x = -3x 12 + -3x = 12 + -3x Add '-12' to each side of the equation. 12 + -12 + -3x = 12 + -12 + -3x Combine like terms: 12 + -12 = 0 0 + -3x = 12 + -12 + -3x -3x = 12 + -12 + -3x Combine like terms: 12 + -12 = 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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