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Simplifying 2(3x + 4) = 4(x + -8) Reorder the terms: 2(4 + 3x) = 4(x + -8) (4 * 2 + 3x * 2) = 4(x + -8) (8 + 6x) = 4(x + -8) Reorder the terms: 8 + 6x = 4(-8 + x) 8 + 6x = (-8 * 4 + x * 4) 8 + 6x = (-32 + 4x) Solving 8 + 6x = -32 + 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. 8 + 6x + -4x = -32 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = -32 + 0 8 + 2x = -32 Add '-8' to each side of the equation. 8 + -8 + 2x = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -32 + -8 2x = -32 + -8 Combine like terms: -32 + -8 = -40 2x = -40 Divide each side by '2'. x = -20 Simplifying x = -20
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