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Simplifying 5x + 6(2x + -9) = 48 Reorder the terms: 5x + 6(-9 + 2x) = 48 5x + (-9 * 6 + 2x * 6) = 48 5x + (-54 + 12x) = 48 Reorder the terms: -54 + 5x + 12x = 48 Combine like terms: 5x + 12x = 17x -54 + 17x = 48 Solving -54 + 17x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 17x = 48 + 54 Combine like terms: -54 + 54 = 0 0 + 17x = 48 + 54 17x = 48 + 54 Combine like terms: 48 + 54 = 102 17x = 102 Divide each side by '17'. x = 6 Simplifying x = 6
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