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Simplifying 6(-2x + 9) = 102 Reorder the terms: 6(9 + -2x) = 102 (9 * 6 + -2x * 6) = 102 (54 + -12x) = 102 Solving 54 + -12x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -12x = 102 + -54 Combine like terms: 54 + -54 = 0 0 + -12x = 102 + -54 -12x = 102 + -54 Combine like terms: 102 + -54 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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