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Simplifying 0.8x + -0.1 = 0.4x + 0.7 Reorder the terms: -0.1 + 0.8x = 0.4x + 0.7 Reorder the terms: -0.1 + 0.8x = 0.7 + 0.4x Solving -0.1 + 0.8x = 0.7 + 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. -0.1 + 0.8x + -0.4x = 0.7 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x -0.1 + 0.4x = 0.7 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.1 + 0.4x = 0.7 + 0.0 -0.1 + 0.4x = 0.7 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.4x = 0.7 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.4x = 0.7 + 0.1 0.4x = 0.7 + 0.1 Combine like terms: 0.7 + 0.1 = 0.8 0.4x = 0.8 Divide each side by '0.4'. x = 2 Simplifying x = 2
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