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Simplifying 7x + (x + -13) = 5x + -1(5 + x) Reorder the terms: 7x + (-13 + x) = 5x + -1(5 + x) Remove parenthesis around (-13 + x) 7x + -13 + x = 5x + -1(5 + x) Reorder the terms: -13 + 7x + x = 5x + -1(5 + x) Combine like terms: 7x + x = 8x -13 + 8x = 5x + -1(5 + x) -13 + 8x = 5x + (5 * -1 + x * -1) -13 + 8x = 5x + (-5 + -1x) Reorder the terms: -13 + 8x = -5 + 5x + -1x Combine like terms: 5x + -1x = 4x -13 + 8x = -5 + 4x Solving -13 + 8x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 8x + -4x = -5 + 4x + -4x Combine like terms: 8x + -4x = 4x -13 + 4x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 4x = -5 + 0 -13 + 4x = -5 Add '13' to each side of the equation. -13 + 13 + 4x = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = -5 + 13 4x = -5 + 13 Combine like terms: -5 + 13 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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