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Simplifying -4x + -2(-5x + -18) = 102 Reorder the terms: -4x + -2(-18 + -5x) = 102 -4x + (-18 * -2 + -5x * -2) = 102 -4x + (36 + 10x) = 102 Reorder the terms: 36 + -4x + 10x = 102 Combine like terms: -4x + 10x = 6x 36 + 6x = 102 Solving 36 + 6x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6x = 102 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 102 + -36 6x = 102 + -36 Combine like terms: 102 + -36 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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