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Simplifying (x + -5) + 13 = 2x + -4 Reorder the terms: (-5 + x) + 13 = 2x + -4 Remove parenthesis around (-5 + x) -5 + x + 13 = 2x + -4 Reorder the terms: -5 + 13 + x = 2x + -4 Combine like terms: -5 + 13 = 8 8 + x = 2x + -4 Reorder the terms: 8 + x = -4 + 2x Solving 8 + x = -4 + 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. 8 + x + -2x = -4 + 2x + -2x Combine like terms: x + -2x = -1x 8 + -1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = -4 + 0 8 + -1x = -4 Add '-8' to each side of the equation. 8 + -8 + -1x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -4 + -8 -1x = -4 + -8 Combine like terms: -4 + -8 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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