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