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Simplifying 0.4x + -12 = 0.15x + 0.8 Reorder the terms: -12 + 0.4x = 0.15x + 0.8 Reorder the terms: -12 + 0.4x = 0.8 + 0.15x Solving -12 + 0.4x = 0.8 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -12 + 0.4x + -0.15x = 0.8 + 0.15x + -0.15x Combine like terms: 0.4x + -0.15x = 0.25x -12 + 0.25x = 0.8 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -12 + 0.25x = 0.8 + 0.00 -12 + 0.25x = 0.8 Add '12' to each side of the equation. -12 + 12 + 0.25x = 0.8 + 12 Combine like terms: -12 + 12 = 0 0 + 0.25x = 0.8 + 12 0.25x = 0.8 + 12 Combine like terms: 0.8 + 12 = 12.8 0.25x = 12.8 Divide each side by '0.25'. x = 51.2 Simplifying x = 51.2
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