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Simplifying 5(X + 9) = 13X + -7 Reorder the terms: 5(9 + X) = 13X + -7 (9 * 5 + X * 5) = 13X + -7 (45 + 5X) = 13X + -7 Reorder the terms: 45 + 5X = -7 + 13X Solving 45 + 5X = -7 + 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. 45 + 5X + -13X = -7 + 13X + -13X Combine like terms: 5X + -13X = -8X 45 + -8X = -7 + 13X + -13X Combine like terms: 13X + -13X = 0 45 + -8X = -7 + 0 45 + -8X = -7 Add '-45' to each side of the equation. 45 + -45 + -8X = -7 + -45 Combine like terms: 45 + -45 = 0 0 + -8X = -7 + -45 -8X = -7 + -45 Combine like terms: -7 + -45 = -52 -8X = -52 Divide each side by '-8'. X = 6.5 Simplifying X = 6.5
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