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Simplifying 2(3x + 2) = -5(5x + -1) Reorder the terms: 2(2 + 3x) = -5(5x + -1) (2 * 2 + 3x * 2) = -5(5x + -1) (4 + 6x) = -5(5x + -1) Reorder the terms: 4 + 6x = -5(-1 + 5x) 4 + 6x = (-1 * -5 + 5x * -5) 4 + 6x = (5 + -25x) Solving 4 + 6x = 5 + -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. 4 + 6x + 25x = 5 + -25x + 25x Combine like terms: 6x + 25x = 31x 4 + 31x = 5 + -25x + 25x Combine like terms: -25x + 25x = 0 4 + 31x = 5 + 0 4 + 31x = 5 Add '-4' to each side of the equation. 4 + -4 + 31x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 31x = 5 + -4 31x = 5 + -4 Combine like terms: 5 + -4 = 1 31x = 1 Divide each side by '31'. x = 0.03225806452 Simplifying x = 0.03225806452
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