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Simplifying 2(5X + 2) + -4(X + -12) = X + 36 Reorder the terms: 2(2 + 5X) + -4(X + -12) = X + 36 (2 * 2 + 5X * 2) + -4(X + -12) = X + 36 (4 + 10X) + -4(X + -12) = X + 36 Reorder the terms: 4 + 10X + -4(-12 + X) = X + 36 4 + 10X + (-12 * -4 + X * -4) = X + 36 4 + 10X + (48 + -4X) = X + 36 Reorder the terms: 4 + 48 + 10X + -4X = X + 36 Combine like terms: 4 + 48 = 52 52 + 10X + -4X = X + 36 Combine like terms: 10X + -4X = 6X 52 + 6X = X + 36 Reorder the terms: 52 + 6X = 36 + X Solving 52 + 6X = 36 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 52 + 6X + -1X = 36 + X + -1X Combine like terms: 6X + -1X = 5X 52 + 5X = 36 + X + -1X Combine like terms: X + -1X = 0 52 + 5X = 36 + 0 52 + 5X = 36 Add '-52' to each side of the equation. 52 + -52 + 5X = 36 + -52 Combine like terms: 52 + -52 = 0 0 + 5X = 36 + -52 5X = 36 + -52 Combine like terms: 36 + -52 = -16 5X = -16 Divide each side by '5'. X = -3.2 Simplifying X = -3.2
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