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Simplifying -17 = -7x + 5(x + -7) Reorder the terms: -17 = -7x + 5(-7 + x) -17 = -7x + (-7 * 5 + x * 5) -17 = -7x + (-35 + 5x) Reorder the terms: -17 = -35 + -7x + 5x Combine like terms: -7x + 5x = -2x -17 = -35 + -2x Solving -17 = -35 + -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 + 2x = -35 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 2x = -35 + 0 -17 + 2x = -35 Add '17' to each side of the equation. -17 + 17 + 2x = -35 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -35 + 17 2x = -35 + 17 Combine like terms: -35 + 17 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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