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Simplifying 175 = 2x + -5(7x + -2) Reorder the terms: 175 = 2x + -5(-2 + 7x) 175 = 2x + (-2 * -5 + 7x * -5) 175 = 2x + (10 + -35x) Reorder the terms: 175 = 10 + 2x + -35x Combine like terms: 2x + -35x = -33x 175 = 10 + -33x Solving 175 = 10 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 175 + 33x = 10 + -33x + 33x Combine like terms: -33x + 33x = 0 175 + 33x = 10 + 0 175 + 33x = 10 Add '-175' to each side of the equation. 175 + -175 + 33x = 10 + -175 Combine like terms: 175 + -175 = 0 0 + 33x = 10 + -175 33x = 10 + -175 Combine like terms: 10 + -175 = -165 33x = -165 Divide each side by '33'. x = -5 Simplifying x = -5
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