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Simplifying 10x + -1(5x + 1) = 5x + -1 Reorder the terms: 10x + -1(1 + 5x) = 5x + -1 10x + (1 * -1 + 5x * -1) = 5x + -1 10x + (-1 + -5x) = 5x + -1 Reorder the terms: -1 + 10x + -5x = 5x + -1 Combine like terms: 10x + -5x = 5x -1 + 5x = 5x + -1 Reorder the terms: -1 + 5x = -1 + 5x Add '1' to each side of the equation. -1 + 1 + 5x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 0 + 5x = -1 + 1 + 5x 5x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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