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Simplifying 5x + 7(x + -6) = 78 Reorder the terms: 5x + 7(-6 + x) = 78 5x + (-6 * 7 + x * 7) = 78 5x + (-42 + 7x) = 78 Reorder the terms: -42 + 5x + 7x = 78 Combine like terms: 5x + 7x = 12x -42 + 12x = 78 Solving -42 + 12x = 78 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 + 12x = 78 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 78 + 42 12x = 78 + 42 Combine like terms: 78 + 42 = 120 12x = 120 Divide each side by '12'. x = 10 Simplifying x = 10
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