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Simplifying (5x + -13) * 9 = 6x Reorder the terms: (-13 + 5x) * 9 = 6x Reorder the terms for easier multiplication: 9(-13 + 5x) = 6x (-13 * 9 + 5x * 9) = 6x (-117 + 45x) = 6x Solving -117 + 45x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -117 + 45x + -6x = 6x + -6x Combine like terms: 45x + -6x = 39x -117 + 39x = 6x + -6x Combine like terms: 6x + -6x = 0 -117 + 39x = 0 Add '117' to each side of the equation. -117 + 117 + 39x = 0 + 117 Combine like terms: -117 + 117 = 0 0 + 39x = 0 + 117 39x = 0 + 117 Combine like terms: 0 + 117 = 117 39x = 117 Divide each side by '39'. x = 3 Simplifying x = 3
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