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Simplifying 5 + -7x = x + 13 Reorder the terms: 5 + -7x = 13 + x Solving 5 + -7x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -7x + -1x = 13 + x + -1x Combine like terms: -7x + -1x = -8x 5 + -8x = 13 + x + -1x Combine like terms: x + -1x = 0 5 + -8x = 13 + 0 5 + -8x = 13 Add '-5' to each side of the equation. 5 + -5 + -8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 13 + -5 -8x = 13 + -5 Combine like terms: 13 + -5 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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