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Simplifying 3(2x + 4) = 4(x + -8) Reorder the terms: 3(4 + 2x) = 4(x + -8) (4 * 3 + 2x * 3) = 4(x + -8) (12 + 6x) = 4(x + -8) Reorder the terms: 12 + 6x = 4(-8 + x) 12 + 6x = (-8 * 4 + x * 4) 12 + 6x = (-32 + 4x) Solving 12 + 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. 12 + 6x + -4x = -32 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -32 + 0 12 + 2x = -32 Add '-12' to each side of the equation. 12 + -12 + 2x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -32 + -12 2x = -32 + -12 Combine like terms: -32 + -12 = -44 2x = -44 Divide each side by '2'. x = -22 Simplifying x = -22
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