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Simplifying 12x + -7 = 5x + 42 Reorder the terms: -7 + 12x = 5x + 42 Reorder the terms: -7 + 12x = 42 + 5x Solving -7 + 12x = 42 + 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. -7 + 12x + -5x = 42 + 5x + -5x Combine like terms: 12x + -5x = 7x -7 + 7x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 7x = 42 + 0 -7 + 7x = 42 Add '7' to each side of the equation. -7 + 7 + 7x = 42 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 42 + 7 7x = 42 + 7 Combine like terms: 42 + 7 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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