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Simplifying 0.6x + 4.1 = -0.8x + 10.7 Reorder the terms: 4.1 + 0.6x = -0.8x + 10.7 Reorder the terms: 4.1 + 0.6x = 10.7 + -0.8x Solving 4.1 + 0.6x = 10.7 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 4.1 + 0.6x + 0.8x = 10.7 + -0.8x + 0.8x Combine like terms: 0.6x + 0.8x = 1.4x 4.1 + 1.4x = 10.7 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 4.1 + 1.4x = 10.7 + 0.0 4.1 + 1.4x = 10.7 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 1.4x = 10.7 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 1.4x = 10.7 + -4.1 1.4x = 10.7 + -4.1 Combine like terms: 10.7 + -4.1 = 6.6 1.4x = 6.6 Divide each side by '1.4'. x = 4.714285714 Simplifying x = 4.714285714
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