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Simplifying 7 + 13 + x = x + x + (x + -5) + (x + -5) Combine like terms: 7 + 13 = 20 20 + x = x + x + (x + -5) + (x + -5) Reorder the terms: 20 + x = x + x + (-5 + x) + (x + -5) Remove parenthesis around (-5 + x) 20 + x = x + x + -5 + x + (x + -5) Reorder the terms: 20 + x = x + x + -5 + x + (-5 + x) Remove parenthesis around (-5 + x) 20 + x = x + x + -5 + x + -5 + x Reorder the terms: 20 + x = -5 + -5 + x + x + x + x Combine like terms: -5 + -5 = -10 20 + x = -10 + x + x + x + x Combine like terms: x + x = 2x 20 + x = -10 + 2x + x + x Combine like terms: 2x + x = 3x 20 + x = -10 + 3x + x Combine like terms: 3x + x = 4x 20 + x = -10 + 4x Solving 20 + x = -10 + 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. 20 + x + -4x = -10 + 4x + -4x Combine like terms: x + -4x = -3x 20 + -3x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -3x = -10 + 0 20 + -3x = -10 Add '-20' to each side of the equation. 20 + -20 + -3x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = -10 + -20 -3x = -10 + -20 Combine like terms: -10 + -20 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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