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Simplifying 7x + -7[6x + -14] = -182 Reorder the terms: 7x + -7[-14 + 6x] = -182 7x + [-14 * -7 + 6x * -7] = -182 7x + [98 + -42x] = -182 Reorder the terms: 98 + 7x + -42x = -182 Combine like terms: 7x + -42x = -35x 98 + -35x = -182 Solving 98 + -35x = -182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -35x = -182 + -98 Combine like terms: 98 + -98 = 0 0 + -35x = -182 + -98 -35x = -182 + -98 Combine like terms: -182 + -98 = -280 -35x = -280 Divide each side by '-35'. x = 8 Simplifying x = 8
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