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Simplifying 2(8x + 4x + 32) = 32x Reorder the terms: 2(32 + 8x + 4x) = 32x Combine like terms: 8x + 4x = 12x 2(32 + 12x) = 32x (32 * 2 + 12x * 2) = 32x (64 + 24x) = 32x Solving 64 + 24x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 64 + 24x + -32x = 32x + -32x Combine like terms: 24x + -32x = -8x 64 + -8x = 32x + -32x Combine like terms: 32x + -32x = 0 64 + -8x = 0 Add '-64' to each side of the equation. 64 + -64 + -8x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -8x = 0 + -64 -8x = 0 + -64 Combine like terms: 0 + -64 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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