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Simplifying 7x + -7(5x + 7) = 175 Reorder the terms: 7x + -7(7 + 5x) = 175 7x + (7 * -7 + 5x * -7) = 175 7x + (-49 + -35x) = 175 Reorder the terms: -49 + 7x + -35x = 175 Combine like terms: 7x + -35x = -28x -49 + -28x = 175 Solving -49 + -28x = 175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -28x = 175 + 49 Combine like terms: -49 + 49 = 0 0 + -28x = 175 + 49 -28x = 175 + 49 Combine like terms: 175 + 49 = 224 -28x = 224 Divide each side by '-28'. x = -8 Simplifying x = -8
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