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Simplifying 2(7x + 8) + 2(4x + -6) = 466 Reorder the terms: 2(8 + 7x) + 2(4x + -6) = 466 (8 * 2 + 7x * 2) + 2(4x + -6) = 466 (16 + 14x) + 2(4x + -6) = 466 Reorder the terms: 16 + 14x + 2(-6 + 4x) = 466 16 + 14x + (-6 * 2 + 4x * 2) = 466 16 + 14x + (-12 + 8x) = 466 Reorder the terms: 16 + -12 + 14x + 8x = 466 Combine like terms: 16 + -12 = 4 4 + 14x + 8x = 466 Combine like terms: 14x + 8x = 22x 4 + 22x = 466 Solving 4 + 22x = 466 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 22x = 466 + -4 Combine like terms: 4 + -4 = 0 0 + 22x = 466 + -4 22x = 466 + -4 Combine like terms: 466 + -4 = 462 22x = 462 Divide each side by '22'. x = 21 Simplifying x = 21
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