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Simplifying 3[2 + 5(2x + -1)] = 3x + 12 Reorder the terms: 3[2 + 5(-1 + 2x)] = 3x + 12 3[2 + (-1 * 5 + 2x * 5)] = 3x + 12 3[2 + (-5 + 10x)] = 3x + 12 Combine like terms: 2 + -5 = -3 3[-3 + 10x] = 3x + 12 [-3 * 3 + 10x * 3] = 3x + 12 [-9 + 30x] = 3x + 12 Reorder the terms: -9 + 30x = 12 + 3x Solving -9 + 30x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 30x + -3x = 12 + 3x + -3x Combine like terms: 30x + -3x = 27x -9 + 27x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 27x = 12 + 0 -9 + 27x = 12 Add '9' to each side of the equation. -9 + 9 + 27x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 27x = 12 + 9 27x = 12 + 9 Combine like terms: 12 + 9 = 21 27x = 21 Divide each side by '27'. x = 0.7777777778 Simplifying x = 0.7777777778
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