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Simplifying -7x + -2(-2x + 17) = -52 Reorder the terms: -7x + -2(17 + -2x) = -52 -7x + (17 * -2 + -2x * -2) = -52 -7x + (-34 + 4x) = -52 Reorder the terms: -34 + -7x + 4x = -52 Combine like terms: -7x + 4x = -3x -34 + -3x = -52 Solving -34 + -3x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -3x = -52 + 34 Combine like terms: -34 + 34 = 0 0 + -3x = -52 + 34 -3x = -52 + 34 Combine like terms: -52 + 34 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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