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Simplifying 5.4x + -4.3 + -4.6x = 0.2x + -5.7 Reorder the terms: -4.3 + 5.4x + -4.6x = 0.2x + -5.7 Combine like terms: 5.4x + -4.6x = 0.8x -4.3 + 0.8x = 0.2x + -5.7 Reorder the terms: -4.3 + 0.8x = -5.7 + 0.2x Solving -4.3 + 0.8x = -5.7 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -4.3 + 0.8x + -0.2x = -5.7 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x -4.3 + 0.6x = -5.7 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4.3 + 0.6x = -5.7 + 0.0 -4.3 + 0.6x = -5.7 Add '4.3' to each side of the equation. -4.3 + 4.3 + 0.6x = -5.7 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 0.6x = -5.7 + 4.3 0.6x = -5.7 + 4.3 Combine like terms: -5.7 + 4.3 = -1.4 0.6x = -1.4 Divide each side by '0.6'. x = -2.333333333 Simplifying x = -2.333333333
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