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Simplifying 5X + 4(X + -2) + 7(X + 4) = 100 Reorder the terms: 5X + 4(-2 + X) + 7(X + 4) = 100 5X + (-2 * 4 + X * 4) + 7(X + 4) = 100 5X + (-8 + 4X) + 7(X + 4) = 100 Reorder the terms: 5X + -8 + 4X + 7(4 + X) = 100 5X + -8 + 4X + (4 * 7 + X * 7) = 100 5X + -8 + 4X + (28 + 7X) = 100 Reorder the terms: -8 + 28 + 5X + 4X + 7X = 100 Combine like terms: -8 + 28 = 20 20 + 5X + 4X + 7X = 100 Combine like terms: 5X + 4X = 9X 20 + 9X + 7X = 100 Combine like terms: 9X + 7X = 16X 20 + 16X = 100 Solving 20 + 16X = 100 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 16X = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 16X = 100 + -20 16X = 100 + -20 Combine like terms: 100 + -20 = 80 16X = 80 Divide each side by '16'. X = 5 Simplifying X = 5
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