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Simplifying 100 + 2(2X + 10) = 30 + X Reorder the terms: 100 + 2(10 + 2X) = 30 + X 100 + (10 * 2 + 2X * 2) = 30 + X 100 + (20 + 4X) = 30 + X Combine like terms: 100 + 20 = 120 120 + 4X = 30 + X Solving 120 + 4X = 30 + 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. 120 + 4X + -1X = 30 + X + -1X Combine like terms: 4X + -1X = 3X 120 + 3X = 30 + X + -1X Combine like terms: X + -1X = 0 120 + 3X = 30 + 0 120 + 3X = 30 Add '-120' to each side of the equation. 120 + -120 + 3X = 30 + -120 Combine like terms: 120 + -120 = 0 0 + 3X = 30 + -120 3X = 30 + -120 Combine like terms: 30 + -120 = -90 3X = -90 Divide each side by '3'. X = -30 Simplifying X = -30
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