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Simplifying -102 = -2(5x + 8) + -6 Reorder the terms: -102 = -2(8 + 5x) + -6 -102 = (8 * -2 + 5x * -2) + -6 -102 = (-16 + -10x) + -6 Reorder the terms: -102 = -16 + -6 + -10x Combine like terms: -16 + -6 = -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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