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Simplifying 2(4x + -4) = 2(3x + 12) Reorder the terms: 2(-4 + 4x) = 2(3x + 12) (-4 * 2 + 4x * 2) = 2(3x + 12) (-8 + 8x) = 2(3x + 12) Reorder the terms: -8 + 8x = 2(12 + 3x) -8 + 8x = (12 * 2 + 3x * 2) -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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