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Simplifying 33(4x + 2) = 25(x + 8) Reorder the terms: 33(2 + 4x) = 25(x + 8) (2 * 33 + 4x * 33) = 25(x + 8) (66 + 132x) = 25(x + 8) Reorder the terms: 66 + 132x = 25(8 + x) 66 + 132x = (8 * 25 + x * 25) 66 + 132x = (200 + 25x) Solving 66 + 132x = 200 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 66 + 132x + -25x = 200 + 25x + -25x Combine like terms: 132x + -25x = 107x 66 + 107x = 200 + 25x + -25x Combine like terms: 25x + -25x = 0 66 + 107x = 200 + 0 66 + 107x = 200 Add '-66' to each side of the equation. 66 + -66 + 107x = 200 + -66 Combine like terms: 66 + -66 = 0 0 + 107x = 200 + -66 107x = 200 + -66 Combine like terms: 200 + -66 = 134 107x = 134 Divide each side by '107'. x = 1.252336449 Simplifying x = 1.252336449
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