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Simplifying -2x + -3(-3x + -6) = 102 Reorder the terms: -2x + -3(-6 + -3x) = 102 -2x + (-6 * -3 + -3x * -3) = 102 -2x + (18 + 9x) = 102 Reorder the terms: 18 + -2x + 9x = 102 Combine like terms: -2x + 9x = 7x 18 + 7x = 102 Solving 18 + 7x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7x = 102 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 102 + -18 7x = 102 + -18 Combine like terms: 102 + -18 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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