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Simplifying -7(5x + -6) + 5 = -35x + 47 Reorder the terms: -7(-6 + 5x) + 5 = -35x + 47 (-6 * -7 + 5x * -7) + 5 = -35x + 47 (42 + -35x) + 5 = -35x + 47 Reorder the terms: 42 + 5 + -35x = -35x + 47 Combine like terms: 42 + 5 = 47 47 + -35x = -35x + 47 Reorder the terms: 47 + -35x = 47 + -35x Add '-47' to each side of the equation. 47 + -47 + -35x = 47 + -47 + -35x Combine like terms: 47 + -47 = 0 0 + -35x = 47 + -47 + -35x -35x = 47 + -47 + -35x Combine like terms: 47 + -47 = 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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