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Simplifying 7(x + 9) = -7(x + 9) Reorder the terms: 7(9 + x) = -7(x + 9) (9 * 7 + x * 7) = -7(x + 9) (63 + 7x) = -7(x + 9) Reorder the terms: 63 + 7x = -7(9 + x) 63 + 7x = (9 * -7 + x * -7) 63 + 7x = (-63 + -7x) Solving 63 + 7x = -63 + -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. 63 + 7x + 7x = -63 + -7x + 7x Combine like terms: 7x + 7x = 14x 63 + 14x = -63 + -7x + 7x Combine like terms: -7x + 7x = 0 63 + 14x = -63 + 0 63 + 14x = -63 Add '-63' to each side of the equation. 63 + -63 + 14x = -63 + -63 Combine like terms: 63 + -63 = 0 0 + 14x = -63 + -63 14x = -63 + -63 Combine like terms: -63 + -63 = -126 14x = -126 Divide each side by '14'. x = -9 Simplifying x = -9
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