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Simplifying 20(25) + 30x = 27(x + 25) Multiply 20 * 25 500 + 30x = 27(x + 25) Reorder the terms: 500 + 30x = 27(25 + x) 500 + 30x = (25 * 27 + x * 27) 500 + 30x = (675 + 27x) Solving 500 + 30x = 675 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 500 + 30x + -27x = 675 + 27x + -27x Combine like terms: 30x + -27x = 3x 500 + 3x = 675 + 27x + -27x Combine like terms: 27x + -27x = 0 500 + 3x = 675 + 0 500 + 3x = 675 Add '-500' to each side of the equation. 500 + -500 + 3x = 675 + -500 Combine like terms: 500 + -500 = 0 0 + 3x = 675 + -500 3x = 675 + -500 Combine like terms: 675 + -500 = 175 3x = 175 Divide each side by '3'. x = 58.33333333 Simplifying x = 58.33333333
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