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Simplifying 23x + -12 = 7(3x + -1) + 2x + -5 Reorder the terms: -12 + 23x = 7(3x + -1) + 2x + -5 Reorder the terms: -12 + 23x = 7(-1 + 3x) + 2x + -5 -12 + 23x = (-1 * 7 + 3x * 7) + 2x + -5 -12 + 23x = (-7 + 21x) + 2x + -5 Reorder the terms: -12 + 23x = -7 + -5 + 21x + 2x Combine like terms: -7 + -5 = -12 -12 + 23x = -12 + 21x + 2x Combine like terms: 21x + 2x = 23x -12 + 23x = -12 + 23x Add '12' to each side of the equation. -12 + 12 + 23x = -12 + 12 + 23x Combine like terms: -12 + 12 = 0 0 + 23x = -12 + 12 + 23x 23x = -12 + 12 + 23x Combine like terms: -12 + 12 = 0 23x = 0 + 23x 23x = 23x Add '-23x' to each side of the equation. 23x + -23x = 23x + -23x Combine like terms: 23x + -23x = 0 0 = 23x + -23x Combine like terms: 23x + -23x = 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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