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Simplifying 7x + -1(2x + -7) = 52 Reorder the terms: 7x + -1(-7 + 2x) = 52 7x + (-7 * -1 + 2x * -1) = 52 7x + (7 + -2x) = 52 Reorder the terms: 7 + 7x + -2x = 52 Combine like terms: 7x + -2x = 5x 7 + 5x = 52 Solving 7 + 5x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 52 + -7 5x = 52 + -7 Combine like terms: 52 + -7 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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