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Simplifying 42x + 12 = 7(5x + 3) + 7x + -9 Reorder the terms: 12 + 42x = 7(5x + 3) + 7x + -9 Reorder the terms: 12 + 42x = 7(3 + 5x) + 7x + -9 12 + 42x = (3 * 7 + 5x * 7) + 7x + -9 12 + 42x = (21 + 35x) + 7x + -9 Reorder the terms: 12 + 42x = 21 + -9 + 35x + 7x Combine like terms: 21 + -9 = 12 12 + 42x = 12 + 35x + 7x Combine like terms: 35x + 7x = 42x 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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