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Simplifying 0.4x + -1.3 = 4.5x + 2.4 Reorder the terms: -1.3 + 0.4x = 4.5x + 2.4 Reorder the terms: -1.3 + 0.4x = 2.4 + 4.5x Solving -1.3 + 0.4x = 2.4 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -1.3 + 0.4x + -4.5x = 2.4 + 4.5x + -4.5x Combine like terms: 0.4x + -4.5x = -4.1x -1.3 + -4.1x = 2.4 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -1.3 + -4.1x = 2.4 + 0.0 -1.3 + -4.1x = 2.4 Add '1.3' to each side of the equation. -1.3 + 1.3 + -4.1x = 2.4 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -4.1x = 2.4 + 1.3 -4.1x = 2.4 + 1.3 Combine like terms: 2.4 + 1.3 = 3.7 -4.1x = 3.7 Divide each side by '-4.1'. x = -0.9024390244 Simplifying x = -0.9024390244
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