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Simplifying 7(6x + 1) + 5 = 42x + 12 Reorder the terms: 7(1 + 6x) + 5 = 42x + 12 (1 * 7 + 6x * 7) + 5 = 42x + 12 (7 + 42x) + 5 = 42x + 12 Reorder the terms: 7 + 5 + 42x = 42x + 12 Combine like terms: 7 + 5 = 12 12 + 42x = 42x + 12 Reorder the terms: 12 + 42x = 12 + 42x Add '-12' to each side of the equation. 12 + -12 + 42x = 12 + -12 + 42x Combine like terms: 12 + -12 = 0 0 + 42x = 12 + -12 + 42x 42x = 12 + -12 + 42x Combine like terms: 12 + -12 = 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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