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Simplifying 0.4x + -1.2 = 0.15x + 0.8 Reorder the terms: -1.2 + 0.4x = 0.15x + 0.8 Reorder the terms: -1.2 + 0.4x = 0.8 + 0.15x Solving -1.2 + 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. -1.2 + 0.4x + -0.15x = 0.8 + 0.15x + -0.15x Combine like terms: 0.4x + -0.15x = 0.25x -1.2 + 0.25x = 0.8 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -1.2 + 0.25x = 0.8 + 0.00 -1.2 + 0.25x = 0.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.25x = 0.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.25x = 0.8 + 1.2 0.25x = 0.8 + 1.2 Combine like terms: 0.8 + 1.2 = 2 0.25x = 2 Divide each side by '0.25'. x = 8 Simplifying x = 8
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