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Simplifying 0.40x + 12.5 = 0.25x + 14.75 Reorder the terms: 12.5 + 0.40x = 0.25x + 14.75 Reorder the terms: 12.5 + 0.40x = 14.75 + 0.25x Solving 12.5 + 0.40x = 14.75 + 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. 12.5 + 0.40x + -0.25x = 14.75 + 0.25x + -0.25x Combine like terms: 0.40x + -0.25x = 0.15x 12.5 + 0.15x = 14.75 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 12.5 + 0.15x = 14.75 + 0.00 12.5 + 0.15x = 14.75 Add '-12.5' to each side of the equation. 12.5 + -12.5 + 0.15x = 14.75 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 0.15x = 14.75 + -12.5 0.15x = 14.75 + -12.5 Combine like terms: 14.75 + -12.5 = 2.25 0.15x = 2.25 Divide each side by '0.15'. x = 15 Simplifying x = 15
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