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Simplifying -5x + 13 = 5x + -7 Reorder the terms: 13 + -5x = 5x + -7 Reorder the terms: 13 + -5x = -7 + 5x Solving 13 + -5x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + -5x + -5x = -7 + 5x + -5x Combine like terms: -5x + -5x = -10x 13 + -10x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -10x = -7 + 0 13 + -10x = -7 Add '-13' to each side of the equation. 13 + -13 + -10x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -7 + -13 -10x = -7 + -13 Combine like terms: -7 + -13 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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