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Simplifying 13(3x + -9) = 4x + -2 Reorder the terms: 13(-9 + 3x) = 4x + -2 (-9 * 13 + 3x * 13) = 4x + -2 (-117 + 39x) = 4x + -2 Reorder the terms: -117 + 39x = -2 + 4x Solving -117 + 39x = -2 + 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 + 39x + -4x = -2 + 4x + -4x Combine like terms: 39x + -4x = 35x -117 + 35x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -117 + 35x = -2 + 0 -117 + 35x = -2 Add '117' to each side of the equation. -117 + 117 + 35x = -2 + 117 Combine like terms: -117 + 117 = 0 0 + 35x = -2 + 117 35x = -2 + 117 Combine like terms: -2 + 117 = 115 35x = 115 Divide each side by '35'. x = 3.285714286 Simplifying x = 3.285714286
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