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Simplifying 5x + 7(x + -6) = 54 Reorder the terms: 5x + 7(-6 + x) = 54 5x + (-6 * 7 + x * 7) = 54 5x + (-42 + 7x) = 54 Reorder the terms: -42 + 5x + 7x = 54 Combine like terms: 5x + 7x = 12x -42 + 12x = 54 Solving -42 + 12x = 54 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 = 54 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 54 + 42 12x = 54 + 42 Combine like terms: 54 + 42 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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