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Simplifying 6(2x + -1) + 6(5x + -1) = 54 Reorder the terms: 6(-1 + 2x) + 6(5x + -1) = 54 (-1 * 6 + 2x * 6) + 6(5x + -1) = 54 (-6 + 12x) + 6(5x + -1) = 54 Reorder the terms: -6 + 12x + 6(-1 + 5x) = 54 -6 + 12x + (-1 * 6 + 5x * 6) = 54 -6 + 12x + (-6 + 30x) = 54 Reorder the terms: -6 + -6 + 12x + 30x = 54 Combine like terms: -6 + -6 = -12 -12 + 12x + 30x = 54 Combine like terms: 12x + 30x = 42x -12 + 42x = 54 Solving -12 + 42x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 42x = 54 + 12 Combine like terms: -12 + 12 = 0 0 + 42x = 54 + 12 42x = 54 + 12 Combine like terms: 54 + 12 = 66 42x = 66 Divide each side by '42'. x = 1.571428571 Simplifying x = 1.571428571
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