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Simplifying 2x + 4(5x + -2) = 102 Reorder the terms: 2x + 4(-2 + 5x) = 102 2x + (-2 * 4 + 5x * 4) = 102 2x + (-8 + 20x) = 102 Reorder the terms: -8 + 2x + 20x = 102 Combine like terms: 2x + 20x = 22x -8 + 22x = 102 Solving -8 + 22x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 22x = 102 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 102 + 8 22x = 102 + 8 Combine like terms: 102 + 8 = 110 22x = 110 Divide each side by '22'. x = 5 Simplifying x = 5
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