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Simplifying -6x + -102 = 78 + 4x Reorder the terms: -102 + -6x = 78 + 4x Solving -102 + -6x = 78 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -102 + -6x + -4x = 78 + 4x + -4x Combine like terms: -6x + -4x = -10x -102 + -10x = 78 + 4x + -4x Combine like terms: 4x + -4x = 0 -102 + -10x = 78 + 0 -102 + -10x = 78 Add '102' to each side of the equation. -102 + 102 + -10x = 78 + 102 Combine like terms: -102 + 102 = 0 0 + -10x = 78 + 102 -10x = 78 + 102 Combine like terms: 78 + 102 = 180 -10x = 180 Divide each side by '-10'. x = -18 Simplifying x = -18
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