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Simplifying 102 = -6x + 3(-2x + 6) Reorder the terms: 102 = -6x + 3(6 + -2x) 102 = -6x + (6 * 3 + -2x * 3) 102 = -6x + (18 + -6x) Reorder the terms: 102 = 18 + -6x + -6x Combine like terms: -6x + -6x = -12x 102 = 18 + -12x Solving 102 = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 102 + 12x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 102 + 12x = 18 + 0 102 + 12x = 18 Add '-102' to each side of the equation. 102 + -102 + 12x = 18 + -102 Combine like terms: 102 + -102 = 0 0 + 12x = 18 + -102 12x = 18 + -102 Combine like terms: 18 + -102 = -84 12x = -84 Divide each side by '12'. x = -7 Simplifying x = -7
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