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Simplifying 5(x + -7) + 22 = 5x + -13 Reorder the terms: 5(-7 + x) + 22 = 5x + -13 (-7 * 5 + x * 5) + 22 = 5x + -13 (-35 + 5x) + 22 = 5x + -13 Reorder the terms: -35 + 22 + 5x = 5x + -13 Combine like terms: -35 + 22 = -13 -13 + 5x = 5x + -13 Reorder the terms: -13 + 5x = -13 + 5x Add '13' to each side of the equation. -13 + 13 + 5x = -13 + 13 + 5x Combine like terms: -13 + 13 = 0 0 + 5x = -13 + 13 + 5x 5x = -13 + 13 + 5x Combine like terms: -13 + 13 = 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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