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Simplifying 2x + -7(4 + -4x) = 152 2x + (4 * -7 + -4x * -7) = 152 2x + (-28 + 28x) = 152 Reorder the terms: -28 + 2x + 28x = 152 Combine like terms: 2x + 28x = 30x -28 + 30x = 152 Solving -28 + 30x = 152 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 + 30x = 152 + 28 Combine like terms: -28 + 28 = 0 0 + 30x = 152 + 28 30x = 152 + 28 Combine like terms: 152 + 28 = 180 30x = 180 Divide each side by '30'. x = 6 Simplifying x = 6
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