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