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Simplifying 3(2x + 1) + -1 = 4x + 3 Reorder the terms: 3(1 + 2x) + -1 = 4x + 3 (1 * 3 + 2x * 3) + -1 = 4x + 3 (3 + 6x) + -1 = 4x + 3 Reorder the terms: 3 + -1 + 6x = 4x + 3 Combine like terms: 3 + -1 = 2 2 + 6x = 4x + 3 Reorder the terms: 2 + 6x = 3 + 4x Solving 2 + 6x = 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. 2 + 6x + -4x = 3 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = 3 + 0 2 + 2x = 3 Add '-2' to each side of the equation. 2 + -2 + 2x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 3 + -2 2x = 3 + -2 Combine like terms: 3 + -2 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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