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Simplifying -17 + 23 = -2(x + 6) Combine like terms: -17 + 23 = 6 6 = -2(x + 6) Reorder the terms: 6 = -2(6 + x) 6 = (6 * -2 + x * -2) 6 = (-12 + -2x) Solving 6 = -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. 6 + 2x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2x = -12 + 0 6 + 2x = -12 Add '-6' to each side of the equation. 6 + -6 + 2x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -12 + -6 2x = -12 + -6 Combine like terms: -12 + -6 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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