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Simplifying 13 + -1(5x + 2) + (x + -7) = 8x + -20 Reorder the terms: 13 + -1(2 + 5x) + (x + -7) = 8x + -20 13 + (2 * -1 + 5x * -1) + (x + -7) = 8x + -20 13 + (-2 + -5x) + (x + -7) = 8x + -20 Reorder the terms: 13 + -2 + -5x + (-7 + x) = 8x + -20 Remove parenthesis around (-7 + x) 13 + -2 + -5x + -7 + x = 8x + -20 Reorder the terms: 13 + -2 + -7 + -5x + x = 8x + -20 Combine like terms: 13 + -2 = 11 11 + -7 + -5x + x = 8x + -20 Combine like terms: 11 + -7 = 4 4 + -5x + x = 8x + -20 Combine like terms: -5x + x = -4x 4 + -4x = 8x + -20 Reorder the terms: 4 + -4x = -20 + 8x Solving 4 + -4x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -4x + -8x = -20 + 8x + -8x Combine like terms: -4x + -8x = -12x 4 + -12x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -12x = -20 + 0 4 + -12x = -20 Add '-4' to each side of the equation. 4 + -4 + -12x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -20 + -4 -12x = -20 + -4 Combine like terms: -20 + -4 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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