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Simplifying -8(1 + -4x) + -3x = 34 + 8x (1 * -8 + -4x * -8) + -3x = 34 + 8x (-8 + 32x) + -3x = 34 + 8x Combine like terms: 32x + -3x = 29x -8 + 29x = 34 + 8x Solving -8 + 29x = 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. -8 + 29x + -8x = 34 + 8x + -8x Combine like terms: 29x + -8x = 21x -8 + 21x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 21x = 34 + 0 -8 + 21x = 34 Add '8' to each side of the equation. -8 + 8 + 21x = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 21x = 34 + 8 21x = 34 + 8 Combine like terms: 34 + 8 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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