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Simplifying 1.6x + -3.4 = 5.8x + 4.6 Reorder the terms: -3.4 + 1.6x = 5.8x + 4.6 Reorder the terms: -3.4 + 1.6x = 4.6 + 5.8x Solving -3.4 + 1.6x = 4.6 + 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. -3.4 + 1.6x + -5.8x = 4.6 + 5.8x + -5.8x Combine like terms: 1.6x + -5.8x = -4.2x -3.4 + -4.2x = 4.6 + 5.8x + -5.8x Combine like terms: 5.8x + -5.8x = 0.0 -3.4 + -4.2x = 4.6 + 0.0 -3.4 + -4.2x = 4.6 Add '3.4' to each side of the equation. -3.4 + 3.4 + -4.2x = 4.6 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -4.2x = 4.6 + 3.4 -4.2x = 4.6 + 3.4 Combine like terms: 4.6 + 3.4 = 8 -4.2x = 8 Divide each side by '-4.2'. x = -1.904761905 Simplifying x = -1.904761905
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