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Simplifying x + 4 + 2x + 1 = 4x + 2 + 1 Reorder the terms: 4 + 1 + x + 2x = 4x + 2 + 1 Combine like terms: 4 + 1 = 5 5 + x + 2x = 4x + 2 + 1 Combine like terms: x + 2x = 3x 5 + 3x = 4x + 2 + 1 Reorder the terms: 5 + 3x = 2 + 1 + 4x Combine like terms: 2 + 1 = 3 5 + 3x = 3 + 4x Solving 5 + 3x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 3x + -4x = 3 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 3 + 0 5 + -1x = 3 Add '-5' to each side of the equation. 5 + -5 + -1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 3 + -5 -1x = 3 + -5 Combine like terms: 3 + -5 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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