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Simplifying 7[8 + -1(3x + 9)] + 7x = 0 Reorder the terms: 7[8 + -1(9 + 3x)] + 7x = 0 7[8 + (9 * -1 + 3x * -1)] + 7x = 0 7[8 + (-9 + -3x)] + 7x = 0 Combine like terms: 8 + -9 = -1 7[-1 + -3x] + 7x = 0 [-1 * 7 + -3x * 7] + 7x = 0 [-7 + -21x] + 7x = 0 Combine like terms: -21x + 7x = -14x -7 + -14x = 0 Solving -7 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -14x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -14x = 0 + 7 -14x = 0 + 7 Combine like terms: 0 + 7 = 7 -14x = 7 Divide each side by '-14'. x = -0.5 Simplifying x = -0.5
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