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Simplifying 2x + -5(1 + -3x) = 1 + -3(1 + -2x) 2x + (1 * -5 + -3x * -5) = 1 + -3(1 + -2x) 2x + (-5 + 15x) = 1 + -3(1 + -2x) Reorder the terms: -5 + 2x + 15x = 1 + -3(1 + -2x) Combine like terms: 2x + 15x = 17x -5 + 17x = 1 + -3(1 + -2x) -5 + 17x = 1 + (1 * -3 + -2x * -3) -5 + 17x = 1 + (-3 + 6x) Combine like terms: 1 + -3 = -2 -5 + 17x = -2 + 6x Solving -5 + 17x = -2 + 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. -5 + 17x + -6x = -2 + 6x + -6x Combine like terms: 17x + -6x = 11x -5 + 11x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 11x = -2 + 0 -5 + 11x = -2 Add '5' to each side of the equation. -5 + 5 + 11x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = -2 + 5 11x = -2 + 5 Combine like terms: -2 + 5 = 3 11x = 3 Divide each side by '11'. x = 0.2727272727 Simplifying x = 0.2727272727
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