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Simplifying 12x + -42 = 7x + 3 Reorder the terms: -42 + 12x = 7x + 3 Reorder the terms: -42 + 12x = 3 + 7x Solving -42 + 12x = 3 + 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. -42 + 12x + -7x = 3 + 7x + -7x Combine like terms: 12x + -7x = 5x -42 + 5x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 5x = 3 + 0 -42 + 5x = 3 Add '42' to each side of the equation. -42 + 42 + 5x = 3 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 3 + 42 5x = 3 + 42 Combine like terms: 3 + 42 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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