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Simplifying 4x + 1 = 5 + -1x + -4 Reorder the terms: 1 + 4x = 5 + -1x + -4 Reorder the terms: 1 + 4x = 5 + -4 + -1x Combine like terms: 5 + -4 = 1 1 + 4x = 1 + -1x Add '-1' to each side of the equation. 1 + -1 + 4x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 0 + 4x = 1 + -1 + -1x 4x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 4x = 0 + -1x 4x = -1x Solving 4x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4x + x = -1x + x Combine like terms: 4x + x = 5x 5x = -1x + x Combine like terms: -1x + x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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