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Simplifying 13(x + -9) = 9x + -17 Reorder the terms: 13(-9 + x) = 9x + -17 (-9 * 13 + x * 13) = 9x + -17 (-117 + 13x) = 9x + -17 Reorder the terms: -117 + 13x = -17 + 9x Solving -117 + 13x = -17 + 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. -117 + 13x + -9x = -17 + 9x + -9x Combine like terms: 13x + -9x = 4x -117 + 4x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 -117 + 4x = -17 + 0 -117 + 4x = -17 Add '117' to each side of the equation. -117 + 117 + 4x = -17 + 117 Combine like terms: -117 + 117 = 0 0 + 4x = -17 + 117 4x = -17 + 117 Combine like terms: -17 + 117 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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