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Simplifying 13x + -1(3x + 2) = 12x + -1(5x + -4) Reorder the terms: 13x + -1(2 + 3x) = 12x + -1(5x + -4) 13x + (2 * -1 + 3x * -1) = 12x + -1(5x + -4) 13x + (-2 + -3x) = 12x + -1(5x + -4) Reorder the terms: -2 + 13x + -3x = 12x + -1(5x + -4) Combine like terms: 13x + -3x = 10x -2 + 10x = 12x + -1(5x + -4) Reorder the terms: -2 + 10x = 12x + -1(-4 + 5x) -2 + 10x = 12x + (-4 * -1 + 5x * -1) -2 + 10x = 12x + (4 + -5x) Reorder the terms: -2 + 10x = 4 + 12x + -5x Combine like terms: 12x + -5x = 7x -2 + 10x = 4 + 7x Solving -2 + 10x = 4 + 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. -2 + 10x + -7x = 4 + 7x + -7x Combine like terms: 10x + -7x = 3x -2 + 3x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 3x = 4 + 0 -2 + 3x = 4 Add '2' to each side of the equation. -2 + 2 + 3x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 4 + 2 3x = 4 + 2 Combine like terms: 4 + 2 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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