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Simplifying 30(10x + 20) = 75(5x) Reorder the terms: 30(20 + 10x) = 75(5x) (20 * 30 + 10x * 30) = 75(5x) (600 + 300x) = 75(5x) Remove parenthesis around (5x) 600 + 300x = 75 * 5x Multiply 75 * 5 600 + 300x = 375x Solving 600 + 300x = 375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-375x' to each side of the equation. 600 + 300x + -375x = 375x + -375x Combine like terms: 300x + -375x = -75x 600 + -75x = 375x + -375x Combine like terms: 375x + -375x = 0 600 + -75x = 0 Add '-600' to each side of the equation. 600 + -600 + -75x = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -75x = 0 + -600 -75x = 0 + -600 Combine like terms: 0 + -600 = -600 -75x = -600 Divide each side by '-75'. x = 8 Simplifying x = 8
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