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Simplifying 7(x + -1) = 9x + -17 Reorder the terms: 7(-1 + x) = 9x + -17 (-1 * 7 + x * 7) = 9x + -17 (-7 + 7x) = 9x + -17 Reorder the terms: -7 + 7x = -17 + 9x Solving -7 + 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. -7 + 7x + -9x = -17 + 9x + -9x Combine like terms: 7x + -9x = -2x -7 + -2x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -2x = -17 + 0 -7 + -2x = -17 Add '7' to each side of the equation. -7 + 7 + -2x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -17 + 7 -2x = -17 + 7 Combine like terms: -17 + 7 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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