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Simplifying 3(3x + 1) = -5(5x + -1) + 3x Reorder the terms: 3(1 + 3x) = -5(5x + -1) + 3x (1 * 3 + 3x * 3) = -5(5x + -1) + 3x (3 + 9x) = -5(5x + -1) + 3x Reorder the terms: 3 + 9x = -5(-1 + 5x) + 3x 3 + 9x = (-1 * -5 + 5x * -5) + 3x 3 + 9x = (5 + -25x) + 3x Combine like terms: -25x + 3x = -22x 3 + 9x = 5 + -22x Solving 3 + 9x = 5 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 3 + 9x + 22x = 5 + -22x + 22x Combine like terms: 9x + 22x = 31x 3 + 31x = 5 + -22x + 22x Combine like terms: -22x + 22x = 0 3 + 31x = 5 + 0 3 + 31x = 5 Add '-3' to each side of the equation. 3 + -3 + 31x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 31x = 5 + -3 31x = 5 + -3 Combine like terms: 5 + -3 = 2 31x = 2 Divide each side by '31'. x = 0.06451612903 Simplifying x = 0.06451612903
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