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Simplifying 7x + 1 = 9x + (-17) Reorder the terms: 1 + 7x = 9x + (-17) 1 + 7x = 9x + -17 Reorder the terms: 1 + 7x = -17 + 9x Solving 1 + 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. 1 + 7x + -9x = -17 + 9x + -9x Combine like terms: 7x + -9x = -2x 1 + -2x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -2x = -17 + 0 1 + -2x = -17 Add '-1' to each side of the equation. 1 + -1 + -2x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -17 + -1 -2x = -17 + -1 Combine like terms: -17 + -1 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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