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