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Simplifying 9[x + 2(x + -2)] = 45 Reorder the terms: 9[x + 2(-2 + x)] = 45 9[x + (-2 * 2 + x * 2)] = 45 9[x + (-4 + 2x)] = 45 Reorder the terms: 9[-4 + x + 2x] = 45 Combine like terms: x + 2x = 3x 9[-4 + 3x] = 45 [-4 * 9 + 3x * 9] = 45 [-36 + 27x] = 45 Solving -36 + 27x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 27x = 45 + 36 Combine like terms: -36 + 36 = 0 0 + 27x = 45 + 36 27x = 45 + 36 Combine like terms: 45 + 36 = 81 27x = 81 Divide each side by '27'. x = 3 Simplifying x = 3
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