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Simplifying 5(15x + 100) = 1175 Reorder the terms: 5(100 + 15x) = 1175 (100 * 5 + 15x * 5) = 1175 (500 + 75x) = 1175 Solving 500 + 75x = 1175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + 75x = 1175 + -500 Combine like terms: 500 + -500 = 0 0 + 75x = 1175 + -500 75x = 1175 + -500 Combine like terms: 1175 + -500 = 675 75x = 675 Divide each side by '75'. x = 9 Simplifying x = 9
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