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Simplifying 5.1x + 16 = 4.1x + 8 Reorder the terms: 16 + 5.1x = 4.1x + 8 Reorder the terms: 16 + 5.1x = 8 + 4.1x Solving 16 + 5.1x = 8 + 4.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1x' to each side of the equation. 16 + 5.1x + -4.1x = 8 + 4.1x + -4.1x Combine like terms: 5.1x + -4.1x = 1x 16 + 1x = 8 + 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 16 + 1x = 8 + 0.0 16 + 1x = 8 Add '-16' to each side of the equation. 16 + -16 + 1x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 8 + -16 1x = 8 + -16 Combine like terms: 8 + -16 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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