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