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Simplifying 34 = 2x + -4(2x + 8) Reorder the terms: 34 = 2x + -4(8 + 2x) 34 = 2x + (8 * -4 + 2x * -4) 34 = 2x + (-32 + -8x) Reorder the terms: 34 = -32 + 2x + -8x Combine like terms: 2x + -8x = -6x 34 = -32 + -6x Solving 34 = -32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 34 + 6x = -32 + -6x + 6x Combine like terms: -6x + 6x = 0 34 + 6x = -32 + 0 34 + 6x = -32 Add '-34' to each side of the equation. 34 + -34 + 6x = -32 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = -32 + -34 6x = -32 + -34 Combine like terms: -32 + -34 = -66 6x = -66 Divide each side by '6'. x = -11 Simplifying x = -11
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