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Simplifying 4x + 2(5x + -12) = 102 Reorder the terms: 4x + 2(-12 + 5x) = 102 4x + (-12 * 2 + 5x * 2) = 102 4x + (-24 + 10x) = 102 Reorder the terms: -24 + 4x + 10x = 102 Combine like terms: 4x + 10x = 14x -24 + 14x = 102 Solving -24 + 14x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 14x = 102 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 102 + 24 14x = 102 + 24 Combine like terms: 102 + 24 = 126 14x = 126 Divide each side by '14'. x = 9 Simplifying x = 9
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