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Simplifying -5(2x + -7) + 7 = -10x + 42 Reorder the terms: -5(-7 + 2x) + 7 = -10x + 42 (-7 * -5 + 2x * -5) + 7 = -10x + 42 (35 + -10x) + 7 = -10x + 42 Reorder the terms: 35 + 7 + -10x = -10x + 42 Combine like terms: 35 + 7 = 42 42 + -10x = -10x + 42 Reorder the terms: 42 + -10x = 42 + -10x Add '-42' to each side of the equation. 42 + -42 + -10x = 42 + -42 + -10x Combine like terms: 42 + -42 = 0 0 + -10x = 42 + -42 + -10x -10x = 42 + -42 + -10x Combine like terms: 42 + -42 = 0 -10x = 0 + -10x -10x = -10x Add '10x' to each side of the equation. -10x + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 0 = -10x + 10x Combine like terms: -10x + 10x = 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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