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Simplifying 13x + 4(x + 1) = 17(x + 1) + -13 Reorder the terms: 13x + 4(1 + x) = 17(x + 1) + -13 13x + (1 * 4 + x * 4) = 17(x + 1) + -13 13x + (4 + 4x) = 17(x + 1) + -13 Reorder the terms: 4 + 13x + 4x = 17(x + 1) + -13 Combine like terms: 13x + 4x = 17x 4 + 17x = 17(x + 1) + -13 Reorder the terms: 4 + 17x = 17(1 + x) + -13 4 + 17x = (1 * 17 + x * 17) + -13 4 + 17x = (17 + 17x) + -13 Reorder the terms: 4 + 17x = 17 + -13 + 17x Combine like terms: 17 + -13 = 4 4 + 17x = 4 + 17x Add '-4' to each side of the equation. 4 + -4 + 17x = 4 + -4 + 17x Combine like terms: 4 + -4 = 0 0 + 17x = 4 + -4 + 17x 17x = 4 + -4 + 17x Combine like terms: 4 + -4 = 0 17x = 0 + 17x 17x = 17x Add '-17x' to each side of the equation. 17x + -17x = 17x + -17x Combine like terms: 17x + -17x = 0 0 = 17x + -17x Combine like terms: 17x + -17x = 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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