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Simplifying 1 + 4x = 7 + 3x + -5 + 2x Reorder the terms: 1 + 4x = 7 + -5 + 3x + 2x Combine like terms: 7 + -5 = 2 1 + 4x = 2 + 3x + 2x Combine like terms: 3x + 2x = 5x 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 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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