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Simplifying 5(x + 5) + 5 = 7(x + 5) + -1(2x + 5) Reorder the terms: 5(5 + x) + 5 = 7(x + 5) + -1(2x + 5) (5 * 5 + x * 5) + 5 = 7(x + 5) + -1(2x + 5) (25 + 5x) + 5 = 7(x + 5) + -1(2x + 5) Reorder the terms: 25 + 5 + 5x = 7(x + 5) + -1(2x + 5) Combine like terms: 25 + 5 = 30 30 + 5x = 7(x + 5) + -1(2x + 5) Reorder the terms: 30 + 5x = 7(5 + x) + -1(2x + 5) 30 + 5x = (5 * 7 + x * 7) + -1(2x + 5) 30 + 5x = (35 + 7x) + -1(2x + 5) Reorder the terms: 30 + 5x = 35 + 7x + -1(5 + 2x) 30 + 5x = 35 + 7x + (5 * -1 + 2x * -1) 30 + 5x = 35 + 7x + (-5 + -2x) Reorder the terms: 30 + 5x = 35 + -5 + 7x + -2x Combine like terms: 35 + -5 = 30 30 + 5x = 30 + 7x + -2x Combine like terms: 7x + -2x = 5x 30 + 5x = 30 + 5x Add '-30' to each side of the equation. 30 + -30 + 5x = 30 + -30 + 5x Combine like terms: 30 + -30 = 0 0 + 5x = 30 + -30 + 5x 5x = 30 + -30 + 5x Combine like terms: 30 + -30 = 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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