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Simplifying 42x + 32 = 5(7x + 8) + 7x + -8 Reorder the terms: 32 + 42x = 5(7x + 8) + 7x + -8 Reorder the terms: 32 + 42x = 5(8 + 7x) + 7x + -8 32 + 42x = (8 * 5 + 7x * 5) + 7x + -8 32 + 42x = (40 + 35x) + 7x + -8 Reorder the terms: 32 + 42x = 40 + -8 + 35x + 7x Combine like terms: 40 + -8 = 32 32 + 42x = 32 + 35x + 7x Combine like terms: 35x + 7x = 42x 32 + 42x = 32 + 42x Add '-32' to each side of the equation. 32 + -32 + 42x = 32 + -32 + 42x Combine like terms: 32 + -32 = 0 0 + 42x = 32 + -32 + 42x 42x = 32 + -32 + 42x Combine like terms: 32 + -32 = 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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