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Simplifying 5(3x + -1) + -1(1 + -2x) = (5x + -2) Reorder the terms: 5(-1 + 3x) + -1(1 + -2x) = (5x + -2) (-1 * 5 + 3x * 5) + -1(1 + -2x) = (5x + -2) (-5 + 15x) + -1(1 + -2x) = (5x + -2) -5 + 15x + (1 * -1 + -2x * -1) = (5x + -2) -5 + 15x + (-1 + 2x) = (5x + -2) Reorder the terms: -5 + -1 + 15x + 2x = (5x + -2) Combine like terms: -5 + -1 = -6 -6 + 15x + 2x = (5x + -2) Combine like terms: 15x + 2x = 17x -6 + 17x = (5x + -2) Reorder the terms: -6 + 17x = (-2 + 5x) Remove parenthesis around (-2 + 5x) -6 + 17x = -2 + 5x Solving -6 + 17x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 17x + -5x = -2 + 5x + -5x Combine like terms: 17x + -5x = 12x -6 + 12x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 12x = -2 + 0 -6 + 12x = -2 Add '6' to each side of the equation. -6 + 6 + 12x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -2 + 6 12x = -2 + 6 Combine like terms: -2 + 6 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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