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Simplifying 3.7(2.1x + 1.7) = 86.2 + 0.87x Reorder the terms: 3.7(1.7 + 2.1x) = 86.2 + 0.87x (1.7 * 3.7 + 2.1x * 3.7) = 86.2 + 0.87x (6.29 + 7.77x) = 86.2 + 0.87x Solving 6.29 + 7.77x = 86.2 + 0.87x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.87x' to each side of the equation. 6.29 + 7.77x + -0.87x = 86.2 + 0.87x + -0.87x Combine like terms: 7.77x + -0.87x = 6.9x 6.29 + 6.9x = 86.2 + 0.87x + -0.87x Combine like terms: 0.87x + -0.87x = 0.00 6.29 + 6.9x = 86.2 + 0.00 6.29 + 6.9x = 86.2 Add '-6.29' to each side of the equation. 6.29 + -6.29 + 6.9x = 86.2 + -6.29 Combine like terms: 6.29 + -6.29 = 0.00 0.00 + 6.9x = 86.2 + -6.29 6.9x = 86.2 + -6.29 Combine like terms: 86.2 + -6.29 = 79.91 6.9x = 79.91 Divide each side by '6.9'. x = 11.58115942 Simplifying x = 11.58115942
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