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Simplifying 9(3x + -1) = 9(-5x + -57) Reorder the terms: 9(-1 + 3x) = 9(-5x + -57) (-1 * 9 + 3x * 9) = 9(-5x + -57) (-9 + 27x) = 9(-5x + -57) Reorder the terms: -9 + 27x = 9(-57 + -5x) -9 + 27x = (-57 * 9 + -5x * 9) -9 + 27x = (-513 + -45x) Solving -9 + 27x = -513 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -9 + 27x + 45x = -513 + -45x + 45x Combine like terms: 27x + 45x = 72x -9 + 72x = -513 + -45x + 45x Combine like terms: -45x + 45x = 0 -9 + 72x = -513 + 0 -9 + 72x = -513 Add '9' to each side of the equation. -9 + 9 + 72x = -513 + 9 Combine like terms: -9 + 9 = 0 0 + 72x = -513 + 9 72x = -513 + 9 Combine like terms: -513 + 9 = -504 72x = -504 Divide each side by '72'. x = -7 Simplifying x = -7
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