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Simplifying 6.1(3.1 + 2.5x) = 15.3(2x + -3.9) (3.1 * 6.1 + 2.5x * 6.1) = 15.3(2x + -3.9) (18.91 + 15.25x) = 15.3(2x + -3.9) Reorder the terms: 18.91 + 15.25x = 15.3(-3.9 + 2x) 18.91 + 15.25x = (-3.9 * 15.3 + 2x * 15.3) 18.91 + 15.25x = (-59.67 + 30.6x) Solving 18.91 + 15.25x = -59.67 + 30.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30.6x' to each side of the equation. 18.91 + 15.25x + -30.6x = -59.67 + 30.6x + -30.6x Combine like terms: 15.25x + -30.6x = -15.35x 18.91 + -15.35x = -59.67 + 30.6x + -30.6x Combine like terms: 30.6x + -30.6x = 0.0 18.91 + -15.35x = -59.67 + 0.0 18.91 + -15.35x = -59.67 Add '-18.91' to each side of the equation. 18.91 + -18.91 + -15.35x = -59.67 + -18.91 Combine like terms: 18.91 + -18.91 = 0.00 0.00 + -15.35x = -59.67 + -18.91 -15.35x = -59.67 + -18.91 Combine like terms: -59.67 + -18.91 = -78.58 -15.35x = -78.58 Divide each side by '-15.35'. x = 5.119218241 Simplifying x = 5.119218241
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