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Simplifying -7x + -17 = 2x + 38 Reorder the terms: -17 + -7x = 2x + 38 Reorder the terms: -17 + -7x = 38 + 2x Solving -17 + -7x = 38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + -7x + -2x = 38 + 2x + -2x Combine like terms: -7x + -2x = -9x -17 + -9x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -9x = 38 + 0 -17 + -9x = 38 Add '17' to each side of the equation. -17 + 17 + -9x = 38 + 17 Combine like terms: -17 + 17 = 0 0 + -9x = 38 + 17 -9x = 38 + 17 Combine like terms: 38 + 17 = 55 -9x = 55 Divide each side by '-9'. x = -6.111111111 Simplifying x = -6.111111111
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