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Simplifying 2[9 + -2(3x + 5)] = -7x Reorder the terms: 2[9 + -2(5 + 3x)] = -7x 2[9 + (5 * -2 + 3x * -2)] = -7x 2[9 + (-10 + -6x)] = -7x Combine like terms: 9 + -10 = -1 2[-1 + -6x] = -7x [-1 * 2 + -6x * 2] = -7x [-2 + -12x] = -7x Solving -2 + -12x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + -12x + 7x = -7x + 7x Combine like terms: -12x + 7x = -5x -2 + -5x = -7x + 7x Combine like terms: -7x + 7x = 0 -2 + -5x = 0 Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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