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Simplifying 5(7x + -7) + -7 = 35x + -42 Reorder the terms: 5(-7 + 7x) + -7 = 35x + -42 (-7 * 5 + 7x * 5) + -7 = 35x + -42 (-35 + 35x) + -7 = 35x + -42 Reorder the terms: -35 + -7 + 35x = 35x + -42 Combine like terms: -35 + -7 = -42 -42 + 35x = 35x + -42 Reorder the terms: -42 + 35x = -42 + 35x Add '42' to each side of the equation. -42 + 42 + 35x = -42 + 42 + 35x Combine like terms: -42 + 42 = 0 0 + 35x = -42 + 42 + 35x 35x = -42 + 42 + 35x Combine like terms: -42 + 42 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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