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Simplifying 5(5x + 6) + 8(8x + 4) = 240 Reorder the terms: 5(6 + 5x) + 8(8x + 4) = 240 (6 * 5 + 5x * 5) + 8(8x + 4) = 240 (30 + 25x) + 8(8x + 4) = 240 Reorder the terms: 30 + 25x + 8(4 + 8x) = 240 30 + 25x + (4 * 8 + 8x * 8) = 240 30 + 25x + (32 + 64x) = 240 Reorder the terms: 30 + 32 + 25x + 64x = 240 Combine like terms: 30 + 32 = 62 62 + 25x + 64x = 240 Combine like terms: 25x + 64x = 89x 62 + 89x = 240 Solving 62 + 89x = 240 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + 89x = 240 + -62 Combine like terms: 62 + -62 = 0 0 + 89x = 240 + -62 89x = 240 + -62 Combine like terms: 240 + -62 = 178 89x = 178 Divide each side by '89'. x = 2 Simplifying x = 2
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