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Simplifying 2x + 7(3x + -12) = 54 Reorder the terms: 2x + 7(-12 + 3x) = 54 2x + (-12 * 7 + 3x * 7) = 54 2x + (-84 + 21x) = 54 Reorder the terms: -84 + 2x + 21x = 54 Combine like terms: 2x + 21x = 23x -84 + 23x = 54 Solving -84 + 23x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 23x = 54 + 84 Combine like terms: -84 + 84 = 0 0 + 23x = 54 + 84 23x = 54 + 84 Combine like terms: 54 + 84 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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