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Simplifying 5(x + 3.4) = 11x + -8.2 Reorder the terms: 5(3.4 + x) = 11x + -8.2 (3.4 * 5 + x * 5) = 11x + -8.2 (17 + 5x) = 11x + -8.2 Reorder the terms: 17 + 5x = -8.2 + 11x Solving 17 + 5x = -8.2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 17 + 5x + -11x = -8.2 + 11x + -11x Combine like terms: 5x + -11x = -6x 17 + -6x = -8.2 + 11x + -11x Combine like terms: 11x + -11x = 0 17 + -6x = -8.2 + 0 17 + -6x = -8.2 Add '-17' to each side of the equation. 17 + -17 + -6x = -8.2 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -8.2 + -17 -6x = -8.2 + -17 Combine like terms: -8.2 + -17 = -25.2 -6x = -25.2 Divide each side by '-6'. x = 4.2 Simplifying x = 4.2
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