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Simplifying 6x + 2(3x + -9) = 114 Reorder the terms: 6x + 2(-9 + 3x) = 114 6x + (-9 * 2 + 3x * 2) = 114 6x + (-18 + 6x) = 114 Reorder the terms: -18 + 6x + 6x = 114 Combine like terms: 6x + 6x = 12x -18 + 12x = 114 Solving -18 + 12x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12x = 114 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 114 + 18 12x = 114 + 18 Combine like terms: 114 + 18 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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