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Simplifying 2[4x + -12] + 3x = 6x + 1 Reorder the terms: 2[-12 + 4x] + 3x = 6x + 1 [-12 * 2 + 4x * 2] + 3x = 6x + 1 [-24 + 8x] + 3x = 6x + 1 Combine like terms: 8x + 3x = 11x -24 + 11x = 6x + 1 Reorder the terms: -24 + 11x = 1 + 6x Solving -24 + 11x = 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. -24 + 11x + -6x = 1 + 6x + -6x Combine like terms: 11x + -6x = 5x -24 + 5x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 5x = 1 + 0 -24 + 5x = 1 Add '24' to each side of the equation. -24 + 24 + 5x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 1 + 24 5x = 1 + 24 Combine like terms: 1 + 24 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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