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Simplifying 15(3x + -1) = 3 + 8x + -11 Reorder the terms: 15(-1 + 3x) = 3 + 8x + -11 (-1 * 15 + 3x * 15) = 3 + 8x + -11 (-15 + 45x) = 3 + 8x + -11 Reorder the terms: -15 + 45x = 3 + -11 + 8x Combine like terms: 3 + -11 = -8 -15 + 45x = -8 + 8x Solving -15 + 45x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 45x + -8x = -8 + 8x + -8x Combine like terms: 45x + -8x = 37x -15 + 37x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 37x = -8 + 0 -15 + 37x = -8 Add '15' to each side of the equation. -15 + 15 + 37x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 37x = -8 + 15 37x = -8 + 15 Combine like terms: -8 + 15 = 7 37x = 7 Divide each side by '37'. x = 0.1891891892 Simplifying x = 0.1891891892
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