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Simplifying 7 + -4x + 1 = 5x + -1 Reorder the terms: 7 + 1 + -4x = 5x + -1 Combine like terms: 7 + 1 = 8 8 + -4x = 5x + -1 Reorder the terms: 8 + -4x = -1 + 5x Solving 8 + -4x = -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. 8 + -4x + -5x = -1 + 5x + -5x Combine like terms: -4x + -5x = -9x 8 + -9x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -9x = -1 + 0 8 + -9x = -1 Add '-8' to each side of the equation. 8 + -8 + -9x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -1 + -8 -9x = -1 + -8 Combine like terms: -1 + -8 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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