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Simplifying 2x + -3(6x + -2) = 102 Reorder the terms: 2x + -3(-2 + 6x) = 102 2x + (-2 * -3 + 6x * -3) = 102 2x + (6 + -18x) = 102 Reorder the terms: 6 + 2x + -18x = 102 Combine like terms: 2x + -18x = -16x 6 + -16x = 102 Solving 6 + -16x = 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 + -16x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 102 + -6 -16x = 102 + -6 Combine like terms: 102 + -6 = 96 -16x = 96 Divide each side by '-16'. x = -6 Simplifying x = -6
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