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Simplifying 5(3x + -1) + -2x = 2 + -1(7x + 3) Reorder the terms: 5(-1 + 3x) + -2x = 2 + -1(7x + 3) (-1 * 5 + 3x * 5) + -2x = 2 + -1(7x + 3) (-5 + 15x) + -2x = 2 + -1(7x + 3) Combine like terms: 15x + -2x = 13x -5 + 13x = 2 + -1(7x + 3) Reorder the terms: -5 + 13x = 2 + -1(3 + 7x) -5 + 13x = 2 + (3 * -1 + 7x * -1) -5 + 13x = 2 + (-3 + -7x) Combine like terms: 2 + -3 = -1 -5 + 13x = -1 + -7x Solving -5 + 13x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 13x + 7x = -1 + -7x + 7x Combine like terms: 13x + 7x = 20x -5 + 20x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 20x = -1 + 0 -5 + 20x = -1 Add '5' to each side of the equation. -5 + 5 + 20x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 20x = -1 + 5 20x = -1 + 5 Combine like terms: -1 + 5 = 4 20x = 4 Divide each side by '20'. x = 0.2 Simplifying x = 0.2
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