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Simplifying 5.8x + 6 = 4.2 + 6.4x Reorder the terms: 6 + 5.8x = 4.2 + 6.4x Solving 6 + 5.8x = 4.2 + 6.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.4x' to each side of the equation. 6 + 5.8x + -6.4x = 4.2 + 6.4x + -6.4x Combine like terms: 5.8x + -6.4x = -0.6x 6 + -0.6x = 4.2 + 6.4x + -6.4x Combine like terms: 6.4x + -6.4x = 0.0 6 + -0.6x = 4.2 + 0.0 6 + -0.6x = 4.2 Add '-6' to each side of the equation. 6 + -6 + -0.6x = 4.2 + -6 Combine like terms: 6 + -6 = 0 0 + -0.6x = 4.2 + -6 -0.6x = 4.2 + -6 Combine like terms: 4.2 + -6 = -1.8 -0.6x = -1.8 Divide each side by '-0.6'. x = 3 Simplifying x = 3
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