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Simplifying 5x + 2(100) = 3x + 300 Multiply 2 * 100 5x + 200 = 3x + 300 Reorder the terms: 200 + 5x = 3x + 300 Reorder the terms: 200 + 5x = 300 + 3x Solving 200 + 5x = 300 + 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. 200 + 5x + -3x = 300 + 3x + -3x Combine like terms: 5x + -3x = 2x 200 + 2x = 300 + 3x + -3x Combine like terms: 3x + -3x = 0 200 + 2x = 300 + 0 200 + 2x = 300 Add '-200' to each side of the equation. 200 + -200 + 2x = 300 + -200 Combine like terms: 200 + -200 = 0 0 + 2x = 300 + -200 2x = 300 + -200 Combine like terms: 300 + -200 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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