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Simplifying -6(8 + x) = -102 (8 * -6 + x * -6) = -102 (-48 + -6x) = -102 Solving -48 + -6x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -6x = -102 + 48 Combine like terms: -48 + 48 = 0 0 + -6x = -102 + 48 -6x = -102 + 48 Combine like terms: -102 + 48 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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