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Simplifying 1.5x + -0.4 = 0.3x + 5 Reorder the terms: -0.4 + 1.5x = 0.3x + 5 Reorder the terms: -0.4 + 1.5x = 5 + 0.3x Solving -0.4 + 1.5x = 5 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -0.4 + 1.5x + -0.3x = 5 + 0.3x + -0.3x Combine like terms: 1.5x + -0.3x = 1.2x -0.4 + 1.2x = 5 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.4 + 1.2x = 5 + 0.0 -0.4 + 1.2x = 5 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1.2x = 5 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1.2x = 5 + 0.4 1.2x = 5 + 0.4 Combine like terms: 5 + 0.4 = 5.4 1.2x = 5.4 Divide each side by '1.2'. x = 4.5 Simplifying x = 4.5
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