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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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