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Simplifying 2x + -4(7x + -8) = -34 + -4x Reorder the terms: 2x + -4(-8 + 7x) = -34 + -4x 2x + (-8 * -4 + 7x * -4) = -34 + -4x 2x + (32 + -28x) = -34 + -4x Reorder the terms: 32 + 2x + -28x = -34 + -4x Combine like terms: 2x + -28x = -26x 32 + -26x = -34 + -4x Solving 32 + -26x = -34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 32 + -26x + 4x = -34 + -4x + 4x Combine like terms: -26x + 4x = -22x 32 + -22x = -34 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + -22x = -34 + 0 32 + -22x = -34 Add '-32' to each side of the equation. 32 + -32 + -22x = -34 + -32 Combine like terms: 32 + -32 = 0 0 + -22x = -34 + -32 -22x = -34 + -32 Combine like terms: -34 + -32 = -66 -22x = -66 Divide each side by '-22'. x = 3 Simplifying x = 3
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