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Simplifying 35x + 32 = 5(6x + 8) + 5x + -8 Reorder the terms: 32 + 35x = 5(6x + 8) + 5x + -8 Reorder the terms: 32 + 35x = 5(8 + 6x) + 5x + -8 32 + 35x = (8 * 5 + 6x * 5) + 5x + -8 32 + 35x = (40 + 30x) + 5x + -8 Reorder the terms: 32 + 35x = 40 + -8 + 30x + 5x Combine like terms: 40 + -8 = 32 32 + 35x = 32 + 30x + 5x Combine like terms: 30x + 5x = 35x 32 + 35x = 32 + 35x Add '-32' to each side of the equation. 32 + -32 + 35x = 32 + -32 + 35x Combine like terms: 32 + -32 = 0 0 + 35x = 32 + -32 + 35x 35x = 32 + -32 + 35x Combine like terms: 32 + -32 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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