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Simplifying 7(6x + -5) + 1 = 42x + -34 Reorder the terms: 7(-5 + 6x) + 1 = 42x + -34 (-5 * 7 + 6x * 7) + 1 = 42x + -34 (-35 + 42x) + 1 = 42x + -34 Reorder the terms: -35 + 1 + 42x = 42x + -34 Combine like terms: -35 + 1 = -34 -34 + 42x = 42x + -34 Reorder the terms: -34 + 42x = -34 + 42x Add '34' to each side of the equation. -34 + 34 + 42x = -34 + 34 + 42x Combine like terms: -34 + 34 = 0 0 + 42x = -34 + 34 + 42x 42x = -34 + 34 + 42x Combine like terms: -34 + 34 = 0 42x = 0 + 42x 42x = 42x Add '-42x' to each side of the equation. 42x + -42x = 42x + -42x Combine like terms: 42x + -42x = 0 0 = 42x + -42x Combine like terms: 42x + -42x = 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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