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Simplifying 2(4x + 4) = 6(x + -4) Reorder the terms: 2(4 + 4x) = 6(x + -4) (4 * 2 + 4x * 2) = 6(x + -4) (8 + 8x) = 6(x + -4) Reorder the terms: 8 + 8x = 6(-4 + x) 8 + 8x = (-4 * 6 + x * 6) 8 + 8x = (-24 + 6x) Solving 8 + 8x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 8x + -6x = -24 + 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 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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