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Simplifying 91(x + 3) = 52(2x + -1) Reorder the terms: 91(3 + x) = 52(2x + -1) (3 * 91 + x * 91) = 52(2x + -1) (273 + 91x) = 52(2x + -1) Reorder the terms: 273 + 91x = 52(-1 + 2x) 273 + 91x = (-1 * 52 + 2x * 52) 273 + 91x = (-52 + 104x) Solving 273 + 91x = -52 + 104x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-104x' to each side of the equation. 273 + 91x + -104x = -52 + 104x + -104x Combine like terms: 91x + -104x = -13x 273 + -13x = -52 + 104x + -104x Combine like terms: 104x + -104x = 0 273 + -13x = -52 + 0 273 + -13x = -52 Add '-273' to each side of the equation. 273 + -273 + -13x = -52 + -273 Combine like terms: 273 + -273 = 0 0 + -13x = -52 + -273 -13x = -52 + -273 Combine like terms: -52 + -273 = -325 -13x = -325 Divide each side by '-13'. x = 25 Simplifying x = 25
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