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Simplifying -102 = -6 + -2(8 + -5x) -102 = -6 + (8 * -2 + -5x * -2) -102 = -6 + (-16 + 10x) Combine like terms: -6 + -16 = -22 -102 = -22 + 10x Solving -102 = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -102 + -10x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 -102 + -10x = -22 + 0 -102 + -10x = -22 Add '102' to each side of the equation. -102 + 102 + -10x = -22 + 102 Combine like terms: -102 + 102 = 0 0 + -10x = -22 + 102 -10x = -22 + 102 Combine like terms: -22 + 102 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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