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Simplifying -5x + -6(-2x + -7) = 84 Reorder the terms: -5x + -6(-7 + -2x) = 84 -5x + (-7 * -6 + -2x * -6) = 84 -5x + (42 + 12x) = 84 Reorder the terms: 42 + -5x + 12x = 84 Combine like terms: -5x + 12x = 7x 42 + 7x = 84 Solving 42 + 7x = 84 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 + 7x = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = 84 + -42 7x = 84 + -42 Combine like terms: 84 + -42 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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