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