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Simplifying 11x + 3(x + -6) = -102 Reorder the terms: 11x + 3(-6 + x) = -102 11x + (-6 * 3 + x * 3) = -102 11x + (-18 + 3x) = -102 Reorder the terms: -18 + 11x + 3x = -102 Combine like terms: 11x + 3x = 14x -18 + 14x = -102 Solving -18 + 14x = -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 + 14x = -102 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = -102 + 18 14x = -102 + 18 Combine like terms: -102 + 18 = -84 14x = -84 Divide each side by '14'. x = -6 Simplifying x = -6
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