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Simplifying 5(x + -7) + 23 = 5x + -12 Reorder the terms: 5(-7 + x) + 23 = 5x + -12 (-7 * 5 + x * 5) + 23 = 5x + -12 (-35 + 5x) + 23 = 5x + -12 Reorder the terms: -35 + 23 + 5x = 5x + -12 Combine like terms: -35 + 23 = -12 -12 + 5x = 5x + -12 Reorder the terms: -12 + 5x = -12 + 5x Add '12' to each side of the equation. -12 + 12 + 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 0 + 5x = -12 + 12 + 5x 5x = -12 + 12 + 5x Combine like terms: -12 + 12 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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