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Simplifying 13x + -1(3x + 12) + -5x = 7x + -1(5x + -3) Reorder the terms: 13x + -1(12 + 3x) + -5x = 7x + -1(5x + -3) 13x + (12 * -1 + 3x * -1) + -5x = 7x + -1(5x + -3) 13x + (-12 + -3x) + -5x = 7x + -1(5x + -3) Reorder the terms: -12 + 13x + -3x + -5x = 7x + -1(5x + -3) Combine like terms: 13x + -3x = 10x -12 + 10x + -5x = 7x + -1(5x + -3) Combine like terms: 10x + -5x = 5x -12 + 5x = 7x + -1(5x + -3) Reorder the terms: -12 + 5x = 7x + -1(-3 + 5x) -12 + 5x = 7x + (-3 * -1 + 5x * -1) -12 + 5x = 7x + (3 + -5x) Reorder the terms: -12 + 5x = 3 + 7x + -5x Combine like terms: 7x + -5x = 2x -12 + 5x = 3 + 2x Solving -12 + 5x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = 3 + 0 -12 + 3x = 3 Add '12' to each side of the equation. -12 + 12 + 3x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 3 + 12 3x = 3 + 12 Combine like terms: 3 + 12 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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