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Simplifying 125 + 0.15x = 75 + 0.4x Solving 125 + 0.15x = 75 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 125 + 0.15x + -0.4x = 75 + 0.4x + -0.4x Combine like terms: 0.15x + -0.4x = -0.25x 125 + -0.25x = 75 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 125 + -0.25x = 75 + 0.0 125 + -0.25x = 75 Add '-125' to each side of the equation. 125 + -125 + -0.25x = 75 + -125 Combine like terms: 125 + -125 = 0 0 + -0.25x = 75 + -125 -0.25x = 75 + -125 Combine like terms: 75 + -125 = -50 -0.25x = -50 Divide each side by '-0.25'. x = 200 Simplifying x = 200
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