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Simplifying 5(x + 5) = 7x + 4 + -2x + 21 Reorder the terms: 5(5 + x) = 7x + 4 + -2x + 21 (5 * 5 + x * 5) = 7x + 4 + -2x + 21 (25 + 5x) = 7x + 4 + -2x + 21 Reorder the terms: 25 + 5x = 4 + 21 + 7x + -2x Combine like terms: 4 + 21 = 25 25 + 5x = 25 + 7x + -2x Combine like terms: 7x + -2x = 5x 25 + 5x = 25 + 5x Add '-25' to each side of the equation. 25 + -25 + 5x = 25 + -25 + 5x Combine like terms: 25 + -25 = 0 0 + 5x = 25 + -25 + 5x 5x = 25 + -25 + 5x Combine like terms: 25 + -25 = 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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