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Simplifying -6x + -7(-1x + -6) = 54 Reorder the terms: -6x + -7(-6 + -1x) = 54 -6x + (-6 * -7 + -1x * -7) = 54 -6x + (42 + 7x) = 54 Reorder the terms: 42 + -6x + 7x = 54 Combine like terms: -6x + 7x = 1x 42 + 1x = 54 Solving 42 + 1x = 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 + 1x = 54 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 54 + -42 1x = 54 + -42 Combine like terms: 54 + -42 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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