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Simplifying 20(-14x + 19) = 25(x + -3) Reorder the terms: 20(19 + -14x) = 25(x + -3) (19 * 20 + -14x * 20) = 25(x + -3) (380 + -280x) = 25(x + -3) Reorder the terms: 380 + -280x = 25(-3 + x) 380 + -280x = (-3 * 25 + x * 25) 380 + -280x = (-75 + 25x) Solving 380 + -280x = -75 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 380 + -280x + -25x = -75 + 25x + -25x Combine like terms: -280x + -25x = -305x 380 + -305x = -75 + 25x + -25x Combine like terms: 25x + -25x = 0 380 + -305x = -75 + 0 380 + -305x = -75 Add '-380' to each side of the equation. 380 + -380 + -305x = -75 + -380 Combine like terms: 380 + -380 = 0 0 + -305x = -75 + -380 -305x = -75 + -380 Combine like terms: -75 + -380 = -455 -305x = -455 Divide each side by '-305'. x = 1.491803279 Simplifying x = 1.491803279
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