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Simplifying 7 + -5x + 1 = 2x + 1 Reorder the terms: 7 + 1 + -5x = 2x + 1 Combine like terms: 7 + 1 = 8 8 + -5x = 2x + 1 Reorder the terms: 8 + -5x = 1 + 2x Solving 8 + -5x = 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. 8 + -5x + -2x = 1 + 2x + -2x Combine like terms: -5x + -2x = -7x 8 + -7x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -7x = 1 + 0 8 + -7x = 1 Add '-8' to each side of the equation. 8 + -8 + -7x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 1 + -8 -7x = 1 + -8 Combine like terms: 1 + -8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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