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Simplifying 5(5x + 6) = 5(7x + 6) + -10x Reorder the terms: 5(6 + 5x) = 5(7x + 6) + -10x (6 * 5 + 5x * 5) = 5(7x + 6) + -10x (30 + 25x) = 5(7x + 6) + -10x Reorder the terms: 30 + 25x = 5(6 + 7x) + -10x 30 + 25x = (6 * 5 + 7x * 5) + -10x 30 + 25x = (30 + 35x) + -10x Combine like terms: 35x + -10x = 25x 30 + 25x = 30 + 25x Add '-30' to each side of the equation. 30 + -30 + 25x = 30 + -30 + 25x Combine like terms: 30 + -30 = 0 0 + 25x = 30 + -30 + 25x 25x = 30 + -30 + 25x Combine like terms: 30 + -30 = 0 25x = 0 + 25x 25x = 25x Add '-25x' to each side of the equation. 25x + -25x = 25x + -25x Combine like terms: 25x + -25x = 0 0 = 25x + -25x Combine like terms: 25x + -25x = 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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