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Simplifying 0.9x + 8.1 = -0.1x + 1 Reorder the terms: 8.1 + 0.9x = -0.1x + 1 Reorder the terms: 8.1 + 0.9x = 1 + -0.1x Solving 8.1 + 0.9x = 1 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 8.1 + 0.9x + 0.1x = 1 + -0.1x + 0.1x Combine like terms: 0.9x + 0.1x = 1x 8.1 + 1x = 1 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 8.1 + 1x = 1 + 0.0 8.1 + 1x = 1 Add '-8.1' to each side of the equation. 8.1 + -8.1 + 1x = 1 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + 1x = 1 + -8.1 1x = 1 + -8.1 Combine like terms: 1 + -8.1 = -7.1 1x = -7.1 Divide each side by '1'. x = -7.1 Simplifying x = -7.1
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