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Simplifying 3x + -2(-6x + 9) = 102 Reorder the terms: 3x + -2(9 + -6x) = 102 3x + (9 * -2 + -6x * -2) = 102 3x + (-18 + 12x) = 102 Reorder the terms: -18 + 3x + 12x = 102 Combine like terms: 3x + 12x = 15x -18 + 15x = 102 Solving -18 + 15x = 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 + 15x = 102 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 102 + 18 15x = 102 + 18 Combine like terms: 102 + 18 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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