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