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Simplifying 5(X + -3) + 4X(3 + -3) + 2(5X + 8) = 36 Reorder the terms: 5(-3 + X) + 4X(3 + -3) + 2(5X + 8) = 36 (-3 * 5 + X * 5) + 4X(3 + -3) + 2(5X + 8) = 36 (-15 + 5X) + 4X(3 + -3) + 2(5X + 8) = 36 Combine like terms: 3 + -3 = 0 -15 + 5X + 4X(0) + 2(5X + 8) = 36 Reorder the terms for easier multiplication: -15 + 5X + 4 * 0X + 2(5X + 8) = 36 Multiply 4 * 0 -15 + 5X + 0X + 2(5X + 8) = 36 Anything times zero is zero. -15 + 5X + 0X + 2(5X + 8) = 36 Reorder the terms: -15 + 5X + 0 + 2(8 + 5X) = 36 -15 + 5X + 0 + (8 * 2 + 5X * 2) = 36 -15 + 5X + 0 + (16 + 10X) = 36 Reorder the terms: -15 + 0 + 16 + 5X + 10X = 36 Combine like terms: -15 + 0 = -15 -15 + 16 + 5X + 10X = 36 Combine like terms: -15 + 16 = 1 1 + 5X + 10X = 36 Combine like terms: 5X + 10X = 15X 1 + 15X = 36 Solving 1 + 15X = 36 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 15X = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 15X = 36 + -1 15X = 36 + -1 Combine like terms: 36 + -1 = 35 15X = 35 Divide each side by '15'. X = 2.333333333 Simplifying X = 2.333333333
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