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Simplifying -5.1x + 4.1 = 6.7x + -1.8 Reorder the terms: 4.1 + -5.1x = 6.7x + -1.8 Reorder the terms: 4.1 + -5.1x = -1.8 + 6.7x Solving 4.1 + -5.1x = -1.8 + 6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7x' to each side of the equation. 4.1 + -5.1x + -6.7x = -1.8 + 6.7x + -6.7x Combine like terms: -5.1x + -6.7x = -11.8x 4.1 + -11.8x = -1.8 + 6.7x + -6.7x Combine like terms: 6.7x + -6.7x = 0.0 4.1 + -11.8x = -1.8 + 0.0 4.1 + -11.8x = -1.8 Add '-4.1' to each side of the equation. 4.1 + -4.1 + -11.8x = -1.8 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + -11.8x = -1.8 + -4.1 -11.8x = -1.8 + -4.1 Combine like terms: -1.8 + -4.1 = -5.9 -11.8x = -5.9 Divide each side by '-11.8'. x = 0.5 Simplifying x = 0.5
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