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Simplifying 8x + 1 = 11.5x + 0.5 Reorder the terms: 1 + 8x = 11.5x + 0.5 Reorder the terms: 1 + 8x = 0.5 + 11.5x Solving 1 + 8x = 0.5 + 11.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.5x' to each side of the equation. 1 + 8x + -11.5x = 0.5 + 11.5x + -11.5x Combine like terms: 8x + -11.5x = -3.5x 1 + -3.5x = 0.5 + 11.5x + -11.5x Combine like terms: 11.5x + -11.5x = 0.0 1 + -3.5x = 0.5 + 0.0 1 + -3.5x = 0.5 Add '-1' to each side of the equation. 1 + -1 + -3.5x = 0.5 + -1 Combine like terms: 1 + -1 = 0 0 + -3.5x = 0.5 + -1 -3.5x = 0.5 + -1 Combine like terms: 0.5 + -1 = -0.5 -3.5x = -0.5 Divide each side by '-3.5'. x = 0.1428571429 Simplifying x = 0.1428571429
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