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Simplifying -4x + -2(3x + 9) = 102 Reorder the terms: -4x + -2(9 + 3x) = 102 -4x + (9 * -2 + 3x * -2) = 102 -4x + (-18 + -6x) = 102 Reorder the terms: -18 + -4x + -6x = 102 Combine like terms: -4x + -6x = -10x -18 + -10x = 102 Solving -18 + -10x = 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 + -10x = 102 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = 102 + 18 -10x = 102 + 18 Combine like terms: 102 + 18 = 120 -10x = 120 Divide each side by '-10'. x = -12 Simplifying x = -12
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