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Simplifying x + 13 = 5x + -7 Reorder the terms: 13 + x = 5x + -7 Reorder the terms: 13 + x = -7 + 5x Solving 13 + x = -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 + x + -5x = -7 + 5x + -5x Combine like terms: x + -5x = -4x 13 + -4x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -4x = -7 + 0 13 + -4x = -7 Add '-13' to each side of the equation. 13 + -13 + -4x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -7 + -13 -4x = -7 + -13 Combine like terms: -7 + -13 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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