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Simplifying 38(9 + -2.5x) = 14(2x + -6) + 20.1 (9 * 38 + -2.5x * 38) = 14(2x + -6) + 20.1 (342 + -95x) = 14(2x + -6) + 20.1 Reorder the terms: 342 + -95x = 14(-6 + 2x) + 20.1 342 + -95x = (-6 * 14 + 2x * 14) + 20.1 342 + -95x = (-84 + 28x) + 20.1 Reorder the terms: 342 + -95x = -84 + 20.1 + 28x Combine like terms: -84 + 20.1 = -63.9 342 + -95x = -63.9 + 28x Solving 342 + -95x = -63.9 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 342 + -95x + -28x = -63.9 + 28x + -28x Combine like terms: -95x + -28x = -123x 342 + -123x = -63.9 + 28x + -28x Combine like terms: 28x + -28x = 0 342 + -123x = -63.9 + 0 342 + -123x = -63.9 Add '-342' to each side of the equation. 342 + -342 + -123x = -63.9 + -342 Combine like terms: 342 + -342 = 0 0 + -123x = -63.9 + -342 -123x = -63.9 + -342 Combine like terms: -63.9 + -342 = -405.9 -123x = -405.9 Divide each side by '-123'. x = 3.3 Simplifying x = 3.3
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