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Simplifying 14 = -4x + 6(2x + 9) Reorder the terms: 14 = -4x + 6(9 + 2x) 14 = -4x + (9 * 6 + 2x * 6) 14 = -4x + (54 + 12x) Reorder the terms: 14 = 54 + -4x + 12x Combine like terms: -4x + 12x = 8x 14 = 54 + 8x Solving 14 = 54 + 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. 14 + -8x = 54 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -8x = 54 + 0 14 + -8x = 54 Add '-14' to each side of the equation. 14 + -14 + -8x = 54 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 54 + -14 -8x = 54 + -14 Combine like terms: 54 + -14 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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