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Simplifying -6(3x + 1) + 6x = 102 Reorder the terms: -6(1 + 3x) + 6x = 102 (1 * -6 + 3x * -6) + 6x = 102 (-6 + -18x) + 6x = 102 Combine like terms: -18x + 6x = -12x -6 + -12x = 102 Solving -6 + -12x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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