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Simplifying 2x + -5(2x + 7) = -75 Reorder the terms: 2x + -5(7 + 2x) = -75 2x + (7 * -5 + 2x * -5) = -75 2x + (-35 + -10x) = -75 Reorder the terms: -35 + 2x + -10x = -75 Combine like terms: 2x + -10x = -8x -35 + -8x = -75 Solving -35 + -8x = -75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -8x = -75 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = -75 + 35 -8x = -75 + 35 Combine like terms: -75 + 35 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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