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Simplifying 5 + -1(2X + -3) + 7(X + 6) = 0 Reorder the terms: 5 + -1(-3 + 2X) + 7(X + 6) = 0 5 + (-3 * -1 + 2X * -1) + 7(X + 6) = 0 5 + (3 + -2X) + 7(X + 6) = 0 Reorder the terms: 5 + 3 + -2X + 7(6 + X) = 0 5 + 3 + -2X + (6 * 7 + X * 7) = 0 5 + 3 + -2X + (42 + 7X) = 0 Reorder the terms: 5 + 3 + 42 + -2X + 7X = 0 Combine like terms: 5 + 3 = 8 8 + 42 + -2X + 7X = 0 Combine like terms: 8 + 42 = 50 50 + -2X + 7X = 0 Combine like terms: -2X + 7X = 5X 50 + 5X = 0 Solving 50 + 5X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 5X = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 5X = 0 + -50 5X = 0 + -50 Combine like terms: 0 + -50 = -50 5X = -50 Divide each side by '5'. X = -10 Simplifying X = -10
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