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Simplifying -7x + -17 = -5(x + 7) Reorder the terms: -17 + -7x = -5(x + 7) Reorder the terms: -17 + -7x = -5(7 + x) -17 + -7x = (7 * -5 + x * -5) -17 + -7x = (-35 + -5x) Solving -17 + -7x = -35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -17 + -7x + 5x = -35 + -5x + 5x Combine like terms: -7x + 5x = -2x -17 + -2x = -35 + -5x + 5x Combine like terms: -5x + 5x = 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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