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Simplifying 8(5 + 8x) + 3(4x + 4) = 52 (5 * 8 + 8x * 8) + 3(4x + 4) = 52 (40 + 64x) + 3(4x + 4) = 52 Reorder the terms: 40 + 64x + 3(4 + 4x) = 52 40 + 64x + (4 * 3 + 4x * 3) = 52 40 + 64x + (12 + 12x) = 52 Reorder the terms: 40 + 12 + 64x + 12x = 52 Combine like terms: 40 + 12 = 52 52 + 64x + 12x = 52 Combine like terms: 64x + 12x = 76x 52 + 76x = 52 Add '-52' to each side of the equation. 52 + -52 + 76x = 52 + -52 Combine like terms: 52 + -52 = 0 0 + 76x = 52 + -52 76x = 52 + -52 Combine like terms: 52 + -52 = 0 76x = 0 Solving 76x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '76'. x = 0 Simplifying x = 0
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