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Simplifying 5x + 1 = 2x + -7x Reorder the terms: 1 + 5x = 2x + -7x Combine like terms: 2x + -7x = -5x 1 + 5x = -5x Solving 1 + 5x = -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. 1 + 5x + 5x = -5x + 5x Combine like terms: 5x + 5x = 10x 1 + 10x = -5x + 5x Combine like terms: -5x + 5x = 0 1 + 10x = 0 Add '-1' to each side of the equation. 1 + -1 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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