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Simplifying 2(5x + 1) = -7x + 2 + 17x Reorder the terms: 2(1 + 5x) = -7x + 2 + 17x (1 * 2 + 5x * 2) = -7x + 2 + 17x (2 + 10x) = -7x + 2 + 17x Reorder the terms: 2 + 10x = 2 + -7x + 17x Combine like terms: -7x + 17x = 10x 2 + 10x = 2 + 10x Add '-2' to each side of the equation. 2 + -2 + 10x = 2 + -2 + 10x Combine like terms: 2 + -2 = 0 0 + 10x = 2 + -2 + 10x 10x = 2 + -2 + 10x Combine like terms: 2 + -2 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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