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Simplifying -182 = -8(2x + 7) + 2 Reorder the terms: -182 = -8(7 + 2x) + 2 -182 = (7 * -8 + 2x * -8) + 2 -182 = (-56 + -16x) + 2 Reorder the terms: -182 = -56 + 2 + -16x Combine like terms: -56 + 2 = -54 -182 = -54 + -16x Solving -182 = -54 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -182 + 16x = -54 + -16x + 16x Combine like terms: -16x + 16x = 0 -182 + 16x = -54 + 0 -182 + 16x = -54 Add '182' to each side of the equation. -182 + 182 + 16x = -54 + 182 Combine like terms: -182 + 182 = 0 0 + 16x = -54 + 182 16x = -54 + 182 Combine like terms: -54 + 182 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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