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Simplifying -7x + 45 = -9x + -17 Reorder the terms: 45 + -7x = -9x + -17 Reorder the terms: 45 + -7x = -17 + -9x Solving 45 + -7x = -17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 45 + -7x + 9x = -17 + -9x + 9x Combine like terms: -7x + 9x = 2x 45 + 2x = -17 + -9x + 9x Combine like terms: -9x + 9x = 0 45 + 2x = -17 + 0 45 + 2x = -17 Add '-45' to each side of the equation. 45 + -45 + 2x = -17 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = -17 + -45 2x = -17 + -45 Combine like terms: -17 + -45 = -62 2x = -62 Divide each side by '2'. x = -31 Simplifying x = -31
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