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Simplifying 27 + 0.40x = 35 + 0.25x Solving 27 + 0.40x = 35 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 27 + 0.40x + -0.25x = 35 + 0.25x + -0.25x Combine like terms: 0.40x + -0.25x = 0.15x 27 + 0.15x = 35 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 27 + 0.15x = 35 + 0.00 27 + 0.15x = 35 Add '-27' to each side of the equation. 27 + -27 + 0.15x = 35 + -27 Combine like terms: 27 + -27 = 0 0 + 0.15x = 35 + -27 0.15x = 35 + -27 Combine like terms: 35 + -27 = 8 0.15x = 8 Divide each side by '0.15'. x = 53.33333333 Simplifying x = 53.33333333
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