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Simplifying 7(5x + -8) + 7 = 35x + -49 Reorder the terms: 7(-8 + 5x) + 7 = 35x + -49 (-8 * 7 + 5x * 7) + 7 = 35x + -49 (-56 + 35x) + 7 = 35x + -49 Reorder the terms: -56 + 7 + 35x = 35x + -49 Combine like terms: -56 + 7 = -49 -49 + 35x = 35x + -49 Reorder the terms: -49 + 35x = -49 + 35x Add '49' to each side of the equation. -49 + 49 + 35x = -49 + 49 + 35x Combine like terms: -49 + 49 = 0 0 + 35x = -49 + 49 + 35x 35x = -49 + 49 + 35x Combine like terms: -49 + 49 = 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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