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Simplifying 0.4x + 3 = 0.8x + 1 Reorder the terms: 3 + 0.4x = 0.8x + 1 Reorder the terms: 3 + 0.4x = 1 + 0.8x Solving 3 + 0.4x = 1 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 3 + 0.4x + -0.8x = 1 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 3 + -0.4x = 1 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 3 + -0.4x = 1 + 0.0 3 + -0.4x = 1 Add '-3' to each side of the equation. 3 + -3 + -0.4x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -0.4x = 1 + -3 -0.4x = 1 + -3 Combine like terms: 1 + -3 = -2 -0.4x = -2 Divide each side by '-0.4'. x = 5 Simplifying x = 5
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