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Simplifying 1.8 + 8x = 2.1 + 1.5x + 0.5 Reorder the terms: 1.8 + 8x = 2.1 + 0.5 + 1.5x Combine like terms: 2.1 + 0.5 = 2.6 1.8 + 8x = 2.6 + 1.5x Solving 1.8 + 8x = 2.6 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 1.8 + 8x + -1.5x = 2.6 + 1.5x + -1.5x Combine like terms: 8x + -1.5x = 6.5x 1.8 + 6.5x = 2.6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 1.8 + 6.5x = 2.6 + 0.0 1.8 + 6.5x = 2.6 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 6.5x = 2.6 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 6.5x = 2.6 + -1.8 6.5x = 2.6 + -1.8 Combine like terms: 2.6 + -1.8 = 0.8 6.5x = 0.8 Divide each side by '6.5'. x = 0.1230769231 Simplifying x = 0.1230769231
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