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Simplifying 102 = -4(3x + -6) + -6 Reorder the terms: 102 = -4(-6 + 3x) + -6 102 = (-6 * -4 + 3x * -4) + -6 102 = (24 + -12x) + -6 Reorder the terms: 102 = 24 + -6 + -12x Combine like terms: 24 + -6 = 18 102 = 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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