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Simplifying 11.5(x + 8) = 2.1 + 0.6x Reorder the terms: 11.5(8 + x) = 2.1 + 0.6x (8 * 11.5 + x * 11.5) = 2.1 + 0.6x (92 + 11.5x) = 2.1 + 0.6x Solving 92 + 11.5x = 2.1 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 92 + 11.5x + -0.6x = 2.1 + 0.6x + -0.6x Combine like terms: 11.5x + -0.6x = 10.9x 92 + 10.9x = 2.1 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 92 + 10.9x = 2.1 + 0.0 92 + 10.9x = 2.1 Add '-92' to each side of the equation. 92 + -92 + 10.9x = 2.1 + -92 Combine like terms: 92 + -92 = 0 0 + 10.9x = 2.1 + -92 10.9x = 2.1 + -92 Combine like terms: 2.1 + -92 = -89.9 10.9x = -89.9 Divide each side by '10.9'. x = -8.247706422 Simplifying x = -8.247706422
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