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Simplifying 14x + 7x + 12x + 420 + 42x + 336 = 84x Reorder the terms: 420 + 336 + 14x + 7x + 12x + 42x = 84x Combine like terms: 420 + 336 = 756 756 + 14x + 7x + 12x + 42x = 84x Combine like terms: 14x + 7x = 21x 756 + 21x + 12x + 42x = 84x Combine like terms: 21x + 12x = 33x 756 + 33x + 42x = 84x Combine like terms: 33x + 42x = 75x 756 + 75x = 84x Solving 756 + 75x = 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 756 + 75x + -84x = 84x + -84x Combine like terms: 75x + -84x = -9x 756 + -9x = 84x + -84x Combine like terms: 84x + -84x = 0 756 + -9x = 0 Add '-756' to each side of the equation. 756 + -756 + -9x = 0 + -756 Combine like terms: 756 + -756 = 0 0 + -9x = 0 + -756 -9x = 0 + -756 Combine like terms: 0 + -756 = -756 -9x = -756 Divide each side by '-9'. x = 84 Simplifying x = 84
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