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Simplifying 2x + 4 + 3x + 2 = x + 5x + 1 Reorder the terms: 4 + 2 + 2x + 3x = x + 5x + 1 Combine like terms: 4 + 2 = 6 6 + 2x + 3x = x + 5x + 1 Combine like terms: 2x + 3x = 5x 6 + 5x = x + 5x + 1 Reorder the terms: 6 + 5x = 1 + x + 5x Combine like terms: x + 5x = 6x 6 + 5x = 1 + 6x Solving 6 + 5x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 5x + -6x = 1 + 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = 1 + 0 6 + -1x = 1 Add '-6' to each side of the equation. 6 + -6 + -1x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 1 + -6 -1x = 1 + -6 Combine like terms: 1 + -6 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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