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Simplifying 1.3x + -2.4 = 5.8x + 4.7 Reorder the terms: -2.4 + 1.3x = 5.8x + 4.7 Reorder the terms: -2.4 + 1.3x = 4.7 + 5.8x Solving -2.4 + 1.3x = 4.7 + 5.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.8x' to each side of the equation. -2.4 + 1.3x + -5.8x = 4.7 + 5.8x + -5.8x Combine like terms: 1.3x + -5.8x = -4.5x -2.4 + -4.5x = 4.7 + 5.8x + -5.8x Combine like terms: 5.8x + -5.8x = 0.0 -2.4 + -4.5x = 4.7 + 0.0 -2.4 + -4.5x = 4.7 Add '2.4' to each side of the equation. -2.4 + 2.4 + -4.5x = 4.7 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -4.5x = 4.7 + 2.4 -4.5x = 4.7 + 2.4 Combine like terms: 4.7 + 2.4 = 7.1 -4.5x = 7.1 Divide each side by '-4.5'. x = -1.577777778 Simplifying x = -1.577777778
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