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