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Simplifying 6x + 6(x + -9) = 78 Reorder the terms: 6x + 6(-9 + x) = 78 6x + (-9 * 6 + x * 6) = 78 6x + (-54 + 6x) = 78 Reorder the terms: -54 + 6x + 6x = 78 Combine like terms: 6x + 6x = 12x -54 + 12x = 78 Solving -54 + 12x = 78 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 + 12x = 78 + 54 Combine like terms: -54 + 54 = 0 0 + 12x = 78 + 54 12x = 78 + 54 Combine like terms: 78 + 54 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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