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Simplifying 13(x + -9) = -4(x + -9) Reorder the terms: 13(-9 + x) = -4(x + -9) (-9 * 13 + x * 13) = -4(x + -9) (-117 + 13x) = -4(x + -9) Reorder the terms: -117 + 13x = -4(-9 + x) -117 + 13x = (-9 * -4 + x * -4) -117 + 13x = (36 + -4x) Solving -117 + 13x = 36 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -117 + 13x + 4x = 36 + -4x + 4x Combine like terms: 13x + 4x = 17x -117 + 17x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 -117 + 17x = 36 + 0 -117 + 17x = 36 Add '117' to each side of the equation. -117 + 117 + 17x = 36 + 117 Combine like terms: -117 + 117 = 0 0 + 17x = 36 + 117 17x = 36 + 117 Combine like terms: 36 + 117 = 153 17x = 153 Divide each side by '17'. x = 9 Simplifying x = 9
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