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Simplifying -3x + 2(5x + 6) = 54 Reorder the terms: -3x + 2(6 + 5x) = 54 -3x + (6 * 2 + 5x * 2) = 54 -3x + (12 + 10x) = 54 Reorder the terms: 12 + -3x + 10x = 54 Combine like terms: -3x + 10x = 7x 12 + 7x = 54 Solving 12 + 7x = 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 + 7x = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 54 + -12 7x = 54 + -12 Combine like terms: 54 + -12 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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