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Simplifying 4x + 6 = -102 + -8x Reorder the terms: 6 + 4x = -102 + -8x Solving 6 + 4x = -102 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 4x + 8x = -102 + -8x + 8x Combine like terms: 4x + 8x = 12x 6 + 12x = -102 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 12x = -102 + 0 6 + 12x = -102 Add '-6' to each side of the equation. 6 + -6 + 12x = -102 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = -102 + -6 12x = -102 + -6 Combine like terms: -102 + -6 = -108 12x = -108 Divide each side by '12'. x = -9 Simplifying x = -9
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