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Simplifying 13(x + -9) = 5x + -13 Reorder the terms: 13(-9 + x) = 5x + -13 (-9 * 13 + x * 13) = 5x + -13 (-117 + 13x) = 5x + -13 Reorder the terms: -117 + 13x = -13 + 5x Solving -117 + 13x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -117 + 13x + -5x = -13 + 5x + -5x Combine like terms: 13x + -5x = 8x -117 + 8x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -117 + 8x = -13 + 0 -117 + 8x = -13 Add '117' to each side of the equation. -117 + 117 + 8x = -13 + 117 Combine like terms: -117 + 117 = 0 0 + 8x = -13 + 117 8x = -13 + 117 Combine like terms: -13 + 117 = 104 8x = 104 Divide each side by '8'. x = 13 Simplifying x = 13
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