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Simplifying 12(x + -14) + -14(x + 9) = 0 Reorder the terms: 12(-14 + x) + -14(x + 9) = 0 (-14 * 12 + x * 12) + -14(x + 9) = 0 (-168 + 12x) + -14(x + 9) = 0 Reorder the terms: -168 + 12x + -14(9 + x) = 0 -168 + 12x + (9 * -14 + x * -14) = 0 -168 + 12x + (-126 + -14x) = 0 Reorder the terms: -168 + -126 + 12x + -14x = 0 Combine like terms: -168 + -126 = -294 -294 + 12x + -14x = 0 Combine like terms: 12x + -14x = -2x -294 + -2x = 0 Solving -294 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '294' to each side of the equation. -294 + 294 + -2x = 0 + 294 Combine like terms: -294 + 294 = 0 0 + -2x = 0 + 294 -2x = 0 + 294 Combine like terms: 0 + 294 = 294 -2x = 294 Divide each side by '-2'. x = -147 Simplifying x = -147
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