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Simplifying 10(50) = 15(1 + x) Multiply 10 * 50 500 = 15(1 + x) 500 = (1 * 15 + x * 15) 500 = (15 + 15x) Solving 500 = 15 + 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. 500 + -15x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 500 + -15x = 15 + 0 500 + -15x = 15 Add '-500' to each side of the equation. 500 + -500 + -15x = 15 + -500 Combine like terms: 500 + -500 = 0 0 + -15x = 15 + -500 -15x = 15 + -500 Combine like terms: 15 + -500 = -485 -15x = -485 Divide each side by '-15'. x = 32.33333333 Simplifying x = 32.33333333
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