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Simplifying 5(X + 4) + -6(2X + 7) = 9(X + 3) + -17 Reorder the terms: 5(4 + X) + -6(2X + 7) = 9(X + 3) + -17 (4 * 5 + X * 5) + -6(2X + 7) = 9(X + 3) + -17 (20 + 5X) + -6(2X + 7) = 9(X + 3) + -17 Reorder the terms: 20 + 5X + -6(7 + 2X) = 9(X + 3) + -17 20 + 5X + (7 * -6 + 2X * -6) = 9(X + 3) + -17 20 + 5X + (-42 + -12X) = 9(X + 3) + -17 Reorder the terms: 20 + -42 + 5X + -12X = 9(X + 3) + -17 Combine like terms: 20 + -42 = -22 -22 + 5X + -12X = 9(X + 3) + -17 Combine like terms: 5X + -12X = -7X -22 + -7X = 9(X + 3) + -17 Reorder the terms: -22 + -7X = 9(3 + X) + -17 -22 + -7X = (3 * 9 + X * 9) + -17 -22 + -7X = (27 + 9X) + -17 Reorder the terms: -22 + -7X = 27 + -17 + 9X Combine like terms: 27 + -17 = 10 -22 + -7X = 10 + 9X Solving -22 + -7X = 10 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. -22 + -7X + -9X = 10 + 9X + -9X Combine like terms: -7X + -9X = -16X -22 + -16X = 10 + 9X + -9X Combine like terms: 9X + -9X = 0 -22 + -16X = 10 + 0 -22 + -16X = 10 Add '22' to each side of the equation. -22 + 22 + -16X = 10 + 22 Combine like terms: -22 + 22 = 0 0 + -16X = 10 + 22 -16X = 10 + 22 Combine like terms: 10 + 22 = 32 -16X = 32 Divide each side by '-16'. X = -2 Simplifying X = -2
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