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Simplifying 42x + -49 + 12x + -20 = 5x + 78 Reorder the terms: -49 + -20 + 42x + 12x = 5x + 78 Combine like terms: -49 + -20 = -69 -69 + 42x + 12x = 5x + 78 Combine like terms: 42x + 12x = 54x -69 + 54x = 5x + 78 Reorder the terms: -69 + 54x = 78 + 5x Solving -69 + 54x = 78 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -69 + 54x + -5x = 78 + 5x + -5x Combine like terms: 54x + -5x = 49x -69 + 49x = 78 + 5x + -5x Combine like terms: 5x + -5x = 0 -69 + 49x = 78 + 0 -69 + 49x = 78 Add '69' to each side of the equation. -69 + 69 + 49x = 78 + 69 Combine like terms: -69 + 69 = 0 0 + 49x = 78 + 69 49x = 78 + 69 Combine like terms: 78 + 69 = 147 49x = 147 Divide each side by '49'. x = 3 Simplifying x = 3
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