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Simplifying -17 + 5 = -2(x + 1) Combine like terms: -17 + 5 = -12 -12 = -2(x + 1) Reorder the terms: -12 = -2(1 + x) -12 = (1 * -2 + x * -2) -12 = (-2 + -2x) Solving -12 = -2 + -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. -12 + 2x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 2x = -2 + 0 -12 + 2x = -2 Add '12' to each side of the equation. -12 + 12 + 2x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -2 + 12 2x = -2 + 12 Combine like terms: -2 + 12 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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