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Simplifying -34 = -6 + 2(x + -9) Reorder the terms: -34 = -6 + 2(-9 + x) -34 = -6 + (-9 * 2 + x * 2) -34 = -6 + (-18 + 2x) Combine like terms: -6 + -18 = -24 -34 = -24 + 2x Solving -34 = -24 + 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. -34 + -2x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + -2x = -24 + 0 -34 + -2x = -24 Add '34' to each side of the equation. -34 + 34 + -2x = -24 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -24 + 34 -2x = -24 + 34 Combine like terms: -24 + 34 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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