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Simplifying 5(x + 1) = 5(x + 5) + -20 Reorder the terms: 5(1 + x) = 5(x + 5) + -20 (1 * 5 + x * 5) = 5(x + 5) + -20 (5 + 5x) = 5(x + 5) + -20 Reorder the terms: 5 + 5x = 5(5 + x) + -20 5 + 5x = (5 * 5 + x * 5) + -20 5 + 5x = (25 + 5x) + -20 Reorder the terms: 5 + 5x = 25 + -20 + 5x Combine like terms: 25 + -20 = 5 5 + 5x = 5 + 5x Add '-5' to each side of the equation. 5 + -5 + 5x = 5 + -5 + 5x Combine like terms: 5 + -5 = 0 0 + 5x = 5 + -5 + 5x 5x = 5 + -5 + 5x Combine like terms: 5 + -5 = 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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