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Simplifying 1 + 4x = 5x + -2 Reorder the terms: 1 + 4x = -2 + 5x Solving 1 + 4x = -2 + 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 = -2 + 5x + -5x Combine like terms: 4x + -5x = -1x 1 + -1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -1x = -2 + 0 1 + -1x = -2 Add '-1' to each side of the equation. 1 + -1 + -1x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -2 + -1 -1x = -2 + -1 Combine like terms: -2 + -1 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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