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Simplifying 20 + (x + -10) = 0.75x + 17.5 Reorder the terms: 20 + (-10 + x) = 0.75x + 17.5 Remove parenthesis around (-10 + x) 20 + -10 + x = 0.75x + 17.5 Combine like terms: 20 + -10 = 10 10 + x = 0.75x + 17.5 Reorder the terms: 10 + x = 17.5 + 0.75x Solving 10 + x = 17.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 10 + x + -0.75x = 17.5 + 0.75x + -0.75x Combine like terms: x + -0.75x = 0.25x 10 + 0.25x = 17.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 10 + 0.25x = 17.5 + 0.00 10 + 0.25x = 17.5 Add '-10' to each side of the equation. 10 + -10 + 0.25x = 17.5 + -10 Combine like terms: 10 + -10 = 0 0 + 0.25x = 17.5 + -10 0.25x = 17.5 + -10 Combine like terms: 17.5 + -10 = 7.5 0.25x = 7.5 Divide each side by '0.25'. x = 30 Simplifying x = 30
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