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Simplifying 91(2x + 5) = 3(2x + 4) Reorder the terms: 91(5 + 2x) = 3(2x + 4) (5 * 91 + 2x * 91) = 3(2x + 4) (455 + 182x) = 3(2x + 4) Reorder the terms: 455 + 182x = 3(4 + 2x) 455 + 182x = (4 * 3 + 2x * 3) 455 + 182x = (12 + 6x) Solving 455 + 182x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 455 + 182x + -6x = 12 + 6x + -6x Combine like terms: 182x + -6x = 176x 455 + 176x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 455 + 176x = 12 + 0 455 + 176x = 12 Add '-455' to each side of the equation. 455 + -455 + 176x = 12 + -455 Combine like terms: 455 + -455 = 0 0 + 176x = 12 + -455 176x = 12 + -455 Combine like terms: 12 + -455 = -443 176x = -443 Divide each side by '176'. x = -2.517045455 Simplifying x = -2.517045455
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