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Simplifying 7(X + 6) + -2(X + -5) = 0 Reorder the terms: 7(6 + X) + -2(X + -5) = 0 (6 * 7 + X * 7) + -2(X + -5) = 0 (42 + 7X) + -2(X + -5) = 0 Reorder the terms: 42 + 7X + -2(-5 + X) = 0 42 + 7X + (-5 * -2 + X * -2) = 0 42 + 7X + (10 + -2X) = 0 Reorder the terms: 42 + 10 + 7X + -2X = 0 Combine like terms: 42 + 10 = 52 52 + 7X + -2X = 0 Combine like terms: 7X + -2X = 5X 52 + 5X = 0 Solving 52 + 5X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 5X = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 5X = 0 + -52 5X = 0 + -52 Combine like terms: 0 + -52 = -52 5X = -52 Divide each side by '5'. X = -10.4 Simplifying X = -10.4
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