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Simplifying 5(x + 12) = 101 + 200x Reorder the terms: 5(12 + x) = 101 + 200x (12 * 5 + x * 5) = 101 + 200x (60 + 5x) = 101 + 200x Solving 60 + 5x = 101 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. 60 + 5x + -200x = 101 + 200x + -200x Combine like terms: 5x + -200x = -195x 60 + -195x = 101 + 200x + -200x Combine like terms: 200x + -200x = 0 60 + -195x = 101 + 0 60 + -195x = 101 Add '-60' to each side of the equation. 60 + -60 + -195x = 101 + -60 Combine like terms: 60 + -60 = 0 0 + -195x = 101 + -60 -195x = 101 + -60 Combine like terms: 101 + -60 = 41 -195x = 41 Divide each side by '-195'. x = -0.2102564103 Simplifying x = -0.2102564103
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