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Simplifying 10(x) + 5(x + 25) = 200 Reorder the terms: 10x + 5(25 + x) = 200 10x + (25 * 5 + x * 5) = 200 10x + (125 + 5x) = 200 Reorder the terms: 125 + 10x + 5x = 200 Combine like terms: 10x + 5x = 15x 125 + 15x = 200 Solving 125 + 15x = 200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + 15x = 200 + -125 Combine like terms: 125 + -125 = 0 0 + 15x = 200 + -125 15x = 200 + -125 Combine like terms: 200 + -125 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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