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Simplifying -7(X + -5) + 3(7X + 5) = 13(X + 5) + -9 Reorder the terms: -7(-5 + X) + 3(7X + 5) = 13(X + 5) + -9 (-5 * -7 + X * -7) + 3(7X + 5) = 13(X + 5) + -9 (35 + -7X) + 3(7X + 5) = 13(X + 5) + -9 Reorder the terms: 35 + -7X + 3(5 + 7X) = 13(X + 5) + -9 35 + -7X + (5 * 3 + 7X * 3) = 13(X + 5) + -9 35 + -7X + (15 + 21X) = 13(X + 5) + -9 Reorder the terms: 35 + 15 + -7X + 21X = 13(X + 5) + -9 Combine like terms: 35 + 15 = 50 50 + -7X + 21X = 13(X + 5) + -9 Combine like terms: -7X + 21X = 14X 50 + 14X = 13(X + 5) + -9 Reorder the terms: 50 + 14X = 13(5 + X) + -9 50 + 14X = (5 * 13 + X * 13) + -9 50 + 14X = (65 + 13X) + -9 Reorder the terms: 50 + 14X = 65 + -9 + 13X Combine like terms: 65 + -9 = 56 50 + 14X = 56 + 13X Solving 50 + 14X = 56 + 13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13X' to each side of the equation. 50 + 14X + -13X = 56 + 13X + -13X Combine like terms: 14X + -13X = 1X 50 + 1X = 56 + 13X + -13X Combine like terms: 13X + -13X = 0 50 + 1X = 56 + 0 50 + 1X = 56 Add '-50' to each side of the equation. 50 + -50 + 1X = 56 + -50 Combine like terms: 50 + -50 = 0 0 + 1X = 56 + -50 1X = 56 + -50 Combine like terms: 56 + -50 = 6 1X = 6 Divide each side by '1'. X = 6 Simplifying X = 6
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