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Simplifying 34 + -1x = -4(3x + 8) Reorder the terms: 34 + -1x = -4(8 + 3x) 34 + -1x = (8 * -4 + 3x * -4) 34 + -1x = (-32 + -12x) Solving 34 + -1x = -32 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 34 + -1x + 12x = -32 + -12x + 12x Combine like terms: -1x + 12x = 11x 34 + 11x = -32 + -12x + 12x Combine like terms: -12x + 12x = 0 34 + 11x = -32 + 0 34 + 11x = -32 Add '-34' to each side of the equation. 34 + -34 + 11x = -32 + -34 Combine like terms: 34 + -34 = 0 0 + 11x = -32 + -34 11x = -32 + -34 Combine like terms: -32 + -34 = -66 11x = -66 Divide each side by '11'. x = -6 Simplifying x = -6
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