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Simplifying 5(X + 3) + 2(2X + -7) = 9(X + 1) + -8 Reorder the terms: 5(3 + X) + 2(2X + -7) = 9(X + 1) + -8 (3 * 5 + X * 5) + 2(2X + -7) = 9(X + 1) + -8 (15 + 5X) + 2(2X + -7) = 9(X + 1) + -8 Reorder the terms: 15 + 5X + 2(-7 + 2X) = 9(X + 1) + -8 15 + 5X + (-7 * 2 + 2X * 2) = 9(X + 1) + -8 15 + 5X + (-14 + 4X) = 9(X + 1) + -8 Reorder the terms: 15 + -14 + 5X + 4X = 9(X + 1) + -8 Combine like terms: 15 + -14 = 1 1 + 5X + 4X = 9(X + 1) + -8 Combine like terms: 5X + 4X = 9X 1 + 9X = 9(X + 1) + -8 Reorder the terms: 1 + 9X = 9(1 + X) + -8 1 + 9X = (1 * 9 + X * 9) + -8 1 + 9X = (9 + 9X) + -8 Reorder the terms: 1 + 9X = 9 + -8 + 9X Combine like terms: 9 + -8 = 1 1 + 9X = 1 + 9X Add '-1' to each side of the equation. 1 + -1 + 9X = 1 + -1 + 9X Combine like terms: 1 + -1 = 0 0 + 9X = 1 + -1 + 9X 9X = 1 + -1 + 9X Combine like terms: 1 + -1 = 0 9X = 0 + 9X 9X = 9X Add '-9X' to each side of the equation. 9X + -9X = 9X + -9X Combine like terms: 9X + -9X = 0 0 = 9X + -9X Combine like terms: 9X + -9X = 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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