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Simplifying 13(x + -9) = 12x + -126 Reorder the terms: 13(-9 + x) = 12x + -126 (-9 * 13 + x * 13) = 12x + -126 (-117 + 13x) = 12x + -126 Reorder the terms: -117 + 13x = -126 + 12x Solving -117 + 13x = -126 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -117 + 13x + -12x = -126 + 12x + -12x Combine like terms: 13x + -12x = 1x -117 + 1x = -126 + 12x + -12x Combine like terms: 12x + -12x = 0 -117 + 1x = -126 + 0 -117 + 1x = -126 Add '117' to each side of the equation. -117 + 117 + 1x = -126 + 117 Combine like terms: -117 + 117 = 0 0 + 1x = -126 + 117 1x = -126 + 117 Combine like terms: -126 + 117 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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