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Simplifying 6(2x + 9) = 7x + 14 Reorder the terms: 6(9 + 2x) = 7x + 14 (9 * 6 + 2x * 6) = 7x + 14 (54 + 12x) = 7x + 14 Reorder the terms: 54 + 12x = 14 + 7x Solving 54 + 12x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 54 + 12x + -7x = 14 + 7x + -7x Combine like terms: 12x + -7x = 5x 54 + 5x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + 5x = 14 + 0 54 + 5x = 14 Add '-54' to each side of the equation. 54 + -54 + 5x = 14 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 14 + -54 5x = 14 + -54 Combine like terms: 14 + -54 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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