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Simplifying 5X + 7 = 9 + -1(8X + -9) Reorder the terms: 7 + 5X = 9 + -1(8X + -9) Reorder the terms: 7 + 5X = 9 + -1(-9 + 8X) 7 + 5X = 9 + (-9 * -1 + 8X * -1) 7 + 5X = 9 + (9 + -8X) Combine like terms: 9 + 9 = 18 7 + 5X = 18 + -8X Solving 7 + 5X = 18 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. 7 + 5X + 8X = 18 + -8X + 8X Combine like terms: 5X + 8X = 13X 7 + 13X = 18 + -8X + 8X Combine like terms: -8X + 8X = 0 7 + 13X = 18 + 0 7 + 13X = 18 Add '-7' to each side of the equation. 7 + -7 + 13X = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 13X = 18 + -7 13X = 18 + -7 Combine like terms: 18 + -7 = 11 13X = 11 Divide each side by '13'. X = 0.8461538462 Simplifying X = 0.8461538462
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