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Simplifying 50(3x + 2) + -20(x + 6) + -4 = 5 Reorder the terms: 50(2 + 3x) + -20(x + 6) + -4 = 5 (2 * 50 + 3x * 50) + -20(x + 6) + -4 = 5 (100 + 150x) + -20(x + 6) + -4 = 5 Reorder the terms: 100 + 150x + -20(6 + x) + -4 = 5 100 + 150x + (6 * -20 + x * -20) + -4 = 5 100 + 150x + (-120 + -20x) + -4 = 5 Reorder the terms: 100 + -120 + -4 + 150x + -20x = 5 Combine like terms: 100 + -120 = -20 -20 + -4 + 150x + -20x = 5 Combine like terms: -20 + -4 = -24 -24 + 150x + -20x = 5 Combine like terms: 150x + -20x = 130x -24 + 130x = 5 Solving -24 + 130x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 130x = 5 + 24 Combine like terms: -24 + 24 = 0 0 + 130x = 5 + 24 130x = 5 + 24 Combine like terms: 5 + 24 = 29 130x = 29 Divide each side by '130'. x = 0.2230769231 Simplifying x = 0.2230769231
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