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Simplifying 7(X + -5) + 12(X + 14) = 0 Reorder the terms: 7(-5 + X) + 12(X + 14) = 0 (-5 * 7 + X * 7) + 12(X + 14) = 0 (-35 + 7X) + 12(X + 14) = 0 Reorder the terms: -35 + 7X + 12(14 + X) = 0 -35 + 7X + (14 * 12 + X * 12) = 0 -35 + 7X + (168 + 12X) = 0 Reorder the terms: -35 + 168 + 7X + 12X = 0 Combine like terms: -35 + 168 = 133 133 + 7X + 12X = 0 Combine like terms: 7X + 12X = 19X 133 + 19X = 0 Solving 133 + 19X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-133' to each side of the equation. 133 + -133 + 19X = 0 + -133 Combine like terms: 133 + -133 = 0 0 + 19X = 0 + -133 19X = 0 + -133 Combine like terms: 0 + -133 = -133 19X = -133 Divide each side by '19'. X = -7 Simplifying X = -7
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