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Simplifying 4x + -6(3x + 3) = 102 Reorder the terms: 4x + -6(3 + 3x) = 102 4x + (3 * -6 + 3x * -6) = 102 4x + (-18 + -18x) = 102 Reorder the terms: -18 + 4x + -18x = 102 Combine like terms: 4x + -18x = -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 = 120 -14x = 120 Divide each side by '-14'. x = -8.571428571 Simplifying x = -8.571428571
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