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Simplifying 8.1 = 3.5x + -2.5(5.4 + -6x) 8.1 = 3.5x + (5.4 * -2.5 + -6x * -2.5) 8.1 = 3.5x + (-13.5 + 15x) Reorder the terms: 8.1 = -13.5 + 3.5x + 15x Combine like terms: 3.5x + 15x = 18.5x 8.1 = -13.5 + 18.5x Solving 8.1 = -13.5 + 18.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.5x' to each side of the equation. 8.1 + -18.5x = -13.5 + 18.5x + -18.5x Combine like terms: 18.5x + -18.5x = 0.0 8.1 + -18.5x = -13.5 + 0.0 8.1 + -18.5x = -13.5 Add '-8.1' to each side of the equation. 8.1 + -8.1 + -18.5x = -13.5 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + -18.5x = -13.5 + -8.1 -18.5x = -13.5 + -8.1 Combine like terms: -13.5 + -8.1 = -21.6 -18.5x = -21.6 Divide each side by '-18.5'. x = 1.167567568 Simplifying x = 1.167567568
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