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Simplifying 0.4x + -0.30 = 0.45 + 0.2x Reorder the terms: -0.30 + 0.4x = 0.45 + 0.2x Solving -0.30 + 0.4x = 0.45 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.30 + 0.4x + -0.2x = 0.45 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x -0.30 + 0.2x = 0.45 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.30 + 0.2x = 0.45 + 0.0 -0.30 + 0.2x = 0.45 Add '0.30' to each side of the equation. -0.30 + 0.30 + 0.2x = 0.45 + 0.30 Combine like terms: -0.30 + 0.30 = 0.00 0.00 + 0.2x = 0.45 + 0.30 0.2x = 0.45 + 0.30 Combine like terms: 0.45 + 0.30 = 0.75 0.2x = 0.75 Divide each side by '0.2'. x = 3.75 Simplifying x = 3.75
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