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Simplifying -102 = -4 + -2(1 + 8x) -102 = -4 + (1 * -2 + 8x * -2) -102 = -4 + (-2 + -16x) Combine like terms: -4 + -2 = -6 -102 = -6 + -16x Solving -102 = -6 + -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. -102 + 16x = -6 + -16x + 16x Combine like terms: -16x + 16x = 0 -102 + 16x = -6 + 0 -102 + 16x = -6 Add '102' to each side of the equation. -102 + 102 + 16x = -6 + 102 Combine like terms: -102 + 102 = 0 0 + 16x = -6 + 102 16x = -6 + 102 Combine like terms: -6 + 102 = 96 16x = 96 Divide each side by '16'. x = 6 Simplifying x = 6
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