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Simplifying -7(x + 6) + 12x = 7 Reorder the terms: -7(6 + x) + 12x = 7 (6 * -7 + x * -7) + 12x = 7 (-42 + -7x) + 12x = 7 Combine like terms: -7x + 12x = 5x -42 + 5x = 7 Solving -42 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 5x = 7 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = 7 + 42 5x = 7 + 42 Combine like terms: 7 + 42 = 49 5x = 49 Divide each side by '5'. x = 9.8 Simplifying x = 9.8
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