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Simplifying 15(3x + -5) = -14(2x + 4) Reorder the terms: 15(-5 + 3x) = -14(2x + 4) (-5 * 15 + 3x * 15) = -14(2x + 4) (-75 + 45x) = -14(2x + 4) Reorder the terms: -75 + 45x = -14(4 + 2x) -75 + 45x = (4 * -14 + 2x * -14) -75 + 45x = (-56 + -28x) Solving -75 + 45x = -56 + -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. -75 + 45x + 28x = -56 + -28x + 28x Combine like terms: 45x + 28x = 73x -75 + 73x = -56 + -28x + 28x Combine like terms: -28x + 28x = 0 -75 + 73x = -56 + 0 -75 + 73x = -56 Add '75' to each side of the equation. -75 + 75 + 73x = -56 + 75 Combine like terms: -75 + 75 = 0 0 + 73x = -56 + 75 73x = -56 + 75 Combine like terms: -56 + 75 = 19 73x = 19 Divide each side by '73'. x = 0.2602739726 Simplifying x = 0.2602739726
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