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Simplifying -6x + -4(3x + 6) = 102 Reorder the terms: -6x + -4(6 + 3x) = 102 -6x + (6 * -4 + 3x * -4) = 102 -6x + (-24 + -12x) = 102 Reorder the terms: -24 + -6x + -12x = 102 Combine like terms: -6x + -12x = -18x -24 + -18x = 102 Solving -24 + -18x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -18x = 102 + 24 Combine like terms: -24 + 24 = 0 0 + -18x = 102 + 24 -18x = 102 + 24 Combine like terms: 102 + 24 = 126 -18x = 126 Divide each side by '-18'. x = -7 Simplifying x = -7
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