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Simplifying 2(3x + 4) = 4(x + -6) Reorder the terms: 2(4 + 3x) = 4(x + -6) (4 * 2 + 3x * 2) = 4(x + -6) (8 + 6x) = 4(x + -6) Reorder the terms: 8 + 6x = 4(-6 + x) 8 + 6x = (-6 * 4 + x * 4) 8 + 6x = (-24 + 4x) Solving 8 + 6x = -24 + 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 = -24 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x = -24 + 0 8 + 2x = -24 Add '-8' to each side of the equation. 8 + -8 + 2x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -24 + -8 2x = -24 + -8 Combine like terms: -24 + -8 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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