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Simplifying 3(11x + 14) = 9(-18 + -2x) Reorder the terms: 3(14 + 11x) = 9(-18 + -2x) (14 * 3 + 11x * 3) = 9(-18 + -2x) (42 + 33x) = 9(-18 + -2x) 42 + 33x = (-18 * 9 + -2x * 9) 42 + 33x = (-162 + -18x) Solving 42 + 33x = -162 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 42 + 33x + 18x = -162 + -18x + 18x Combine like terms: 33x + 18x = 51x 42 + 51x = -162 + -18x + 18x Combine like terms: -18x + 18x = 0 42 + 51x = -162 + 0 42 + 51x = -162 Add '-42' to each side of the equation. 42 + -42 + 51x = -162 + -42 Combine like terms: 42 + -42 = 0 0 + 51x = -162 + -42 51x = -162 + -42 Combine like terms: -162 + -42 = -204 51x = -204 Divide each side by '51'. x = -4 Simplifying x = -4
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