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Simplifying 7(x + 9) = -2(x + 9) Reorder the terms: 7(9 + x) = -2(x + 9) (9 * 7 + x * 7) = -2(x + 9) (63 + 7x) = -2(x + 9) Reorder the terms: 63 + 7x = -2(9 + x) 63 + 7x = (9 * -2 + x * -2) 63 + 7x = (-18 + -2x) Solving 63 + 7x = -18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 63 + 7x + 2x = -18 + -2x + 2x Combine like terms: 7x + 2x = 9x 63 + 9x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 63 + 9x = -18 + 0 63 + 9x = -18 Add '-63' to each side of the equation. 63 + -63 + 9x = -18 + -63 Combine like terms: 63 + -63 = 0 0 + 9x = -18 + -63 9x = -18 + -63 Combine like terms: -18 + -63 = -81 9x = -81 Divide each side by '9'. x = -9 Simplifying x = -9
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