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Simplifying 4(8 + 10x) = 3(8 + 25x) (8 * 4 + 10x * 4) = 3(8 + 25x) (32 + 40x) = 3(8 + 25x) 32 + 40x = (8 * 3 + 25x * 3) 32 + 40x = (24 + 75x) Solving 32 + 40x = 24 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 32 + 40x + -75x = 24 + 75x + -75x Combine like terms: 40x + -75x = -35x 32 + -35x = 24 + 75x + -75x Combine like terms: 75x + -75x = 0 32 + -35x = 24 + 0 32 + -35x = 24 Add '-32' to each side of the equation. 32 + -32 + -35x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + -35x = 24 + -32 -35x = 24 + -32 Combine like terms: 24 + -32 = -8 -35x = -8 Divide each side by '-35'. x = 0.2285714286 Simplifying x = 0.2285714286
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