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Simplifying -17 + 7 = -2(x + 6) Combine like terms: -17 + 7 = -10 -10 = -2(x + 6) Reorder the terms: -10 = -2(6 + x) -10 = (6 * -2 + x * -2) -10 = (-12 + -2x) Solving -10 = -12 + -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. -10 + 2x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 2x = -12 + 0 -10 + 2x = -12 Add '10' to each side of the equation. -10 + 10 + 2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -12 + 10 2x = -12 + 10 Combine like terms: -12 + 10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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