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