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Simplifying 0.5x + 0.3x + 12 = 0.25x + 40 Reorder the terms: 12 + 0.5x + 0.3x = 0.25x + 40 Combine like terms: 0.5x + 0.3x = 0.8x 12 + 0.8x = 0.25x + 40 Reorder the terms: 12 + 0.8x = 40 + 0.25x Solving 12 + 0.8x = 40 + 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 + 0.8x + -0.25x = 40 + 0.25x + -0.25x Combine like terms: 0.8x + -0.25x = 0.55x 12 + 0.55x = 40 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 12 + 0.55x = 40 + 0.00 12 + 0.55x = 40 Add '-12' to each side of the equation. 12 + -12 + 0.55x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 0.55x = 40 + -12 0.55x = 40 + -12 Combine like terms: 40 + -12 = 28 0.55x = 28 Divide each side by '0.55'. x = 50.90909091 Simplifying x = 50.90909091
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