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Simplifying 2(6x + -9) = 14x + 2 + -6x + 16 Reorder the terms: 2(-9 + 6x) = 14x + 2 + -6x + 16 (-9 * 2 + 6x * 2) = 14x + 2 + -6x + 16 (-18 + 12x) = 14x + 2 + -6x + 16 Reorder the terms: -18 + 12x = 2 + 16 + 14x + -6x Combine like terms: 2 + 16 = 18 -18 + 12x = 18 + 14x + -6x Combine like terms: 14x + -6x = 8x -18 + 12x = 18 + 8x Solving -18 + 12x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 12x + -8x = 18 + 8x + -8x Combine like terms: 12x + -8x = 4x -18 + 4x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 4x = 18 + 0 -18 + 4x = 18 Add '18' to each side of the equation. -18 + 18 + 4x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 18 + 18 4x = 18 + 18 Combine like terms: 18 + 18 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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