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Simplifying 2x + 4(5x + -13) = 102 Reorder the terms: 2x + 4(-13 + 5x) = 102 2x + (-13 * 4 + 5x * 4) = 102 2x + (-52 + 20x) = 102 Reorder the terms: -52 + 2x + 20x = 102 Combine like terms: 2x + 20x = 22x -52 + 22x = 102 Solving -52 + 22x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 22x = 102 + 52 Combine like terms: -52 + 52 = 0 0 + 22x = 102 + 52 22x = 102 + 52 Combine like terms: 102 + 52 = 154 22x = 154 Divide each side by '22'. x = 7 Simplifying x = 7
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