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Simplifying 5(x + -5) + 17 = 7x + -1(2x + 5) + -3 Reorder the terms: 5(-5 + x) + 17 = 7x + -1(2x + 5) + -3 (-5 * 5 + x * 5) + 17 = 7x + -1(2x + 5) + -3 (-25 + 5x) + 17 = 7x + -1(2x + 5) + -3 Reorder the terms: -25 + 17 + 5x = 7x + -1(2x + 5) + -3 Combine like terms: -25 + 17 = -8 -8 + 5x = 7x + -1(2x + 5) + -3 Reorder the terms: -8 + 5x = 7x + -1(5 + 2x) + -3 -8 + 5x = 7x + (5 * -1 + 2x * -1) + -3 -8 + 5x = 7x + (-5 + -2x) + -3 Reorder the terms: -8 + 5x = -5 + -3 + 7x + -2x Combine like terms: -5 + -3 = -8 -8 + 5x = -8 + 7x + -2x Combine like terms: 7x + -2x = 5x -8 + 5x = -8 + 5x Add '8' to each side of the equation. -8 + 8 + 5x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 0 + 5x = -8 + 8 + 5x 5x = -8 + 8 + 5x Combine like terms: -8 + 8 = 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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