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Simplifying 6(2x + -4) + 8 = 2(2x + 8) Reorder the terms: 6(-4 + 2x) + 8 = 2(2x + 8) (-4 * 6 + 2x * 6) + 8 = 2(2x + 8) (-24 + 12x) + 8 = 2(2x + 8) Reorder the terms: -24 + 8 + 12x = 2(2x + 8) Combine like terms: -24 + 8 = -16 -16 + 12x = 2(2x + 8) Reorder the terms: -16 + 12x = 2(8 + 2x) -16 + 12x = (8 * 2 + 2x * 2) -16 + 12x = (16 + 4x) Solving -16 + 12x = 16 + 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. -16 + 12x + -4x = 16 + 4x + -4x Combine like terms: 12x + -4x = 8x -16 + 8x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 8x = 16 + 0 -16 + 8x = 16 Add '16' to each side of the equation. -16 + 16 + 8x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 16 + 16 8x = 16 + 16 Combine like terms: 16 + 16 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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