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Simplifying 2x + 7(2x + -4) = 100 Reorder the terms: 2x + 7(-4 + 2x) = 100 2x + (-4 * 7 + 2x * 7) = 100 2x + (-28 + 14x) = 100 Reorder the terms: -28 + 2x + 14x = 100 Combine like terms: 2x + 14x = 16x -28 + 16x = 100 Solving -28 + 16x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 16x = 100 + 28 Combine like terms: -28 + 28 = 0 0 + 16x = 100 + 28 16x = 100 + 28 Combine like terms: 100 + 28 = 128 16x = 128 Divide each side by '16'. x = 8 Simplifying x = 8
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