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Simplifying 4(x + -8) + -4 = 34 + -8x Reorder the terms: 4(-8 + x) + -4 = 34 + -8x (-8 * 4 + x * 4) + -4 = 34 + -8x (-32 + 4x) + -4 = 34 + -8x Reorder the terms: -32 + -4 + 4x = 34 + -8x Combine like terms: -32 + -4 = -36 -36 + 4x = 34 + -8x Solving -36 + 4x = 34 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -36 + 4x + 8x = 34 + -8x + 8x Combine like terms: 4x + 8x = 12x -36 + 12x = 34 + -8x + 8x Combine like terms: -8x + 8x = 0 -36 + 12x = 34 + 0 -36 + 12x = 34 Add '36' to each side of the equation. -36 + 36 + 12x = 34 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 34 + 36 12x = 34 + 36 Combine like terms: 34 + 36 = 70 12x = 70 Divide each side by '12'. x = 5.833333333 Simplifying x = 5.833333333
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