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Simplifying 3(2x + 100) = 3x + 900 Reorder the terms: 3(100 + 2x) = 3x + 900 (100 * 3 + 2x * 3) = 3x + 900 (300 + 6x) = 3x + 900 Reorder the terms: 300 + 6x = 900 + 3x Solving 300 + 6x = 900 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 300 + 6x + -3x = 900 + 3x + -3x Combine like terms: 6x + -3x = 3x 300 + 3x = 900 + 3x + -3x Combine like terms: 3x + -3x = 0 300 + 3x = 900 + 0 300 + 3x = 900 Add '-300' to each side of the equation. 300 + -300 + 3x = 900 + -300 Combine like terms: 300 + -300 = 0 0 + 3x = 900 + -300 3x = 900 + -300 Combine like terms: 900 + -300 = 600 3x = 600 Divide each side by '3'. x = 200 Simplifying x = 200
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