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Simplifying 5 + -4 + 7x + 1 = 2x + 1 Reorder the terms: 5 + -4 + 1 + 7x = 2x + 1 Combine like terms: 5 + -4 = 1 1 + 1 + 7x = 2x + 1 Combine like terms: 1 + 1 = 2 2 + 7x = 2x + 1 Reorder the terms: 2 + 7x = 1 + 2x Solving 2 + 7x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 7x + -2x = 1 + 2x + -2x Combine like terms: 7x + -2x = 5x 2 + 5x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 5x = 1 + 0 2 + 5x = 1 Add '-2' to each side of the equation. 2 + -2 + 5x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 1 + -2 5x = 1 + -2 Combine like terms: 1 + -2 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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