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Simplifying 5(X + -7) + -2(6 + X) = 0 Reorder the terms: 5(-7 + X) + -2(6 + X) = 0 (-7 * 5 + X * 5) + -2(6 + X) = 0 (-35 + 5X) + -2(6 + X) = 0 -35 + 5X + (6 * -2 + X * -2) = 0 -35 + 5X + (-12 + -2X) = 0 Reorder the terms: -35 + -12 + 5X + -2X = 0 Combine like terms: -35 + -12 = -47 -47 + 5X + -2X = 0 Combine like terms: 5X + -2X = 3X -47 + 3X = 0 Solving -47 + 3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 3X = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 3X = 0 + 47 3X = 0 + 47 Combine like terms: 0 + 47 = 47 3X = 47 Divide each side by '3'. X = 15.66666667 Simplifying X = 15.66666667
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