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Simplifying 5(x + -7) = 10 + 5x + -45 Reorder the terms: 5(-7 + x) = 10 + 5x + -45 (-7 * 5 + x * 5) = 10 + 5x + -45 (-35 + 5x) = 10 + 5x + -45 Reorder the terms: -35 + 5x = 10 + -45 + 5x Combine like terms: 10 + -45 = -35 -35 + 5x = -35 + 5x Add '35' to each side of the equation. -35 + 35 + 5x = -35 + 35 + 5x Combine like terms: -35 + 35 = 0 0 + 5x = -35 + 35 + 5x 5x = -35 + 35 + 5x Combine like terms: -35 + 35 = 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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