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Simplifying 4x + 1 = 5x + -1 Reorder the terms: 1 + 4x = 5x + -1 Reorder the terms: 1 + 4x = -1 + 5x Solving 1 + 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. 1 + 4x + -5x = -1 + 5x + -5x Combine like terms: 4x + -5x = -1x 1 + -1x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -1x = -1 + 0 1 + -1x = -1 Add '-1' to each side of the equation. 1 + -1 + -1x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -1 + -1 -1x = -1 + -1 Combine like terms: -1 + -1 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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