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Simplifying 2(4x + -2) + 2(7x + 5) = 512 Reorder the terms: 2(-2 + 4x) + 2(7x + 5) = 512 (-2 * 2 + 4x * 2) + 2(7x + 5) = 512 (-4 + 8x) + 2(7x + 5) = 512 Reorder the terms: -4 + 8x + 2(5 + 7x) = 512 -4 + 8x + (5 * 2 + 7x * 2) = 512 -4 + 8x + (10 + 14x) = 512 Reorder the terms: -4 + 10 + 8x + 14x = 512 Combine like terms: -4 + 10 = 6 6 + 8x + 14x = 512 Combine like terms: 8x + 14x = 22x 6 + 22x = 512 Solving 6 + 22x = 512 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 22x = 512 + -6 Combine like terms: 6 + -6 = 0 0 + 22x = 512 + -6 22x = 512 + -6 Combine like terms: 512 + -6 = 506 22x = 506 Divide each side by '22'. x = 23 Simplifying x = 23
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