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Simplifying 6(2x + -4) + 16 = 2x + 2 Reorder the terms: 6(-4 + 2x) + 16 = 2x + 2 (-4 * 6 + 2x * 6) + 16 = 2x + 2 (-24 + 12x) + 16 = 2x + 2 Reorder the terms: -24 + 16 + 12x = 2x + 2 Combine like terms: -24 + 16 = -8 -8 + 12x = 2x + 2 Reorder the terms: -8 + 12x = 2 + 2x Solving -8 + 12x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 12x + -2x = 2 + 2x + -2x Combine like terms: 12x + -2x = 10x -8 + 10x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 10x = 2 + 0 -8 + 10x = 2 Add '8' to each side of the equation. -8 + 8 + 10x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 2 + 8 10x = 2 + 8 Combine like terms: 2 + 8 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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