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Simplifying 1.5x + 3.2 + -2.3x + -5.8 = 2.4 Reorder the terms: 3.2 + -5.8 + 1.5x + -2.3x = 2.4 Combine like terms: 3.2 + -5.8 = -2.6 -2.6 + 1.5x + -2.3x = 2.4 Combine like terms: 1.5x + -2.3x = -0.8x -2.6 + -0.8x = 2.4 Solving -2.6 + -0.8x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.6' to each side of the equation. -2.6 + 2.6 + -0.8x = 2.4 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -0.8x = 2.4 + 2.6 -0.8x = 2.4 + 2.6 Combine like terms: 2.4 + 2.6 = 5 -0.8x = 5 Divide each side by '-0.8'. x = -6.25 Simplifying x = -6.25
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