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Simplifying 9(10x + -1) + 4 = -15(5x + -1) Reorder the terms: 9(-1 + 10x) + 4 = -15(5x + -1) (-1 * 9 + 10x * 9) + 4 = -15(5x + -1) (-9 + 90x) + 4 = -15(5x + -1) Reorder the terms: -9 + 4 + 90x = -15(5x + -1) Combine like terms: -9 + 4 = -5 -5 + 90x = -15(5x + -1) Reorder the terms: -5 + 90x = -15(-1 + 5x) -5 + 90x = (-1 * -15 + 5x * -15) -5 + 90x = (15 + -75x) Solving -5 + 90x = 15 + -75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75x' to each side of the equation. -5 + 90x + 75x = 15 + -75x + 75x Combine like terms: 90x + 75x = 165x -5 + 165x = 15 + -75x + 75x Combine like terms: -75x + 75x = 0 -5 + 165x = 15 + 0 -5 + 165x = 15 Add '5' to each side of the equation. -5 + 5 + 165x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 165x = 15 + 5 165x = 15 + 5 Combine like terms: 15 + 5 = 20 165x = 20 Divide each side by '165'. x = 0.1212121212 Simplifying x = 0.1212121212
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