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Simplifying 13x + -7 = 5x + 1 Reorder the terms: -7 + 13x = 5x + 1 Reorder the terms: -7 + 13x = 1 + 5x Solving -7 + 13x = 1 + 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. -7 + 13x + -5x = 1 + 5x + -5x Combine like terms: 13x + -5x = 8x -7 + 8x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 8x = 1 + 0 -7 + 8x = 1 Add '7' to each side of the equation. -7 + 7 + 8x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 1 + 7 8x = 1 + 7 Combine like terms: 1 + 7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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