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Simplifying 6(5x + 7) + 1 = 30x + 43 Reorder the terms: 6(7 + 5x) + 1 = 30x + 43 (7 * 6 + 5x * 6) + 1 = 30x + 43 (42 + 30x) + 1 = 30x + 43 Reorder the terms: 42 + 1 + 30x = 30x + 43 Combine like terms: 42 + 1 = 43 43 + 30x = 30x + 43 Reorder the terms: 43 + 30x = 43 + 30x Add '-43' to each side of the equation. 43 + -43 + 30x = 43 + -43 + 30x Combine like terms: 43 + -43 = 0 0 + 30x = 43 + -43 + 30x 30x = 43 + -43 + 30x Combine like terms: 43 + -43 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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