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Simplifying 12x + 8 + -3x + 7 = 15x + -7 + -6x + 22 Reorder the terms: 8 + 7 + 12x + -3x = 15x + -7 + -6x + 22 Combine like terms: 8 + 7 = 15 15 + 12x + -3x = 15x + -7 + -6x + 22 Combine like terms: 12x + -3x = 9x 15 + 9x = 15x + -7 + -6x + 22 Reorder the terms: 15 + 9x = -7 + 22 + 15x + -6x Combine like terms: -7 + 22 = 15 15 + 9x = 15 + 15x + -6x Combine like terms: 15x + -6x = 9x 15 + 9x = 15 + 9x Add '-15' to each side of the equation. 15 + -15 + 9x = 15 + -15 + 9x Combine like terms: 15 + -15 = 0 0 + 9x = 15 + -15 + 9x 9x = 15 + -15 + 9x Combine like terms: 15 + -15 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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