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Simplifying 3x + 100 = 5(200 + -3x) Reorder the terms: 100 + 3x = 5(200 + -3x) 100 + 3x = (200 * 5 + -3x * 5) 100 + 3x = (1000 + -15x) Solving 100 + 3x = 1000 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 100 + 3x + 15x = 1000 + -15x + 15x Combine like terms: 3x + 15x = 18x 100 + 18x = 1000 + -15x + 15x Combine like terms: -15x + 15x = 0 100 + 18x = 1000 + 0 100 + 18x = 1000 Add '-100' to each side of the equation. 100 + -100 + 18x = 1000 + -100 Combine like terms: 100 + -100 = 0 0 + 18x = 1000 + -100 18x = 1000 + -100 Combine like terms: 1000 + -100 = 900 18x = 900 Divide each side by '18'. x = 50 Simplifying x = 50
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