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Simplifying 42x + 54 = 5(7x + 9) + 7x + 9 Reorder the terms: 54 + 42x = 5(7x + 9) + 7x + 9 Reorder the terms: 54 + 42x = 5(9 + 7x) + 7x + 9 54 + 42x = (9 * 5 + 7x * 5) + 7x + 9 54 + 42x = (45 + 35x) + 7x + 9 Reorder the terms: 54 + 42x = 45 + 9 + 35x + 7x Combine like terms: 45 + 9 = 54 54 + 42x = 54 + 35x + 7x Combine like terms: 35x + 7x = 42x 54 + 42x = 54 + 42x Add '-54' to each side of the equation. 54 + -54 + 42x = 54 + -54 + 42x Combine like terms: 54 + -54 = 0 0 + 42x = 54 + -54 + 42x 42x = 54 + -54 + 42x Combine like terms: 54 + -54 = 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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