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Simplifying 3x + -9[x + -2(2x + 3)] = 39 Reorder the terms: 3x + -9[x + -2(3 + 2x)] = 39 3x + -9[x + (3 * -2 + 2x * -2)] = 39 3x + -9[x + (-6 + -4x)] = 39 Reorder the terms: 3x + -9[-6 + x + -4x] = 39 Combine like terms: x + -4x = -3x 3x + -9[-6 + -3x] = 39 3x + [-6 * -9 + -3x * -9] = 39 3x + [54 + 27x] = 39 Reorder the terms: 54 + 3x + 27x = 39 Combine like terms: 3x + 27x = 30x 54 + 30x = 39 Solving 54 + 30x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 30x = 39 + -54 Combine like terms: 54 + -54 = 0 0 + 30x = 39 + -54 30x = 39 + -54 Combine like terms: 39 + -54 = -15 30x = -15 Divide each side by '30'. x = -0.5 Simplifying x = -0.5
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