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Simplifying -6x + 18 = 7 + -2(4x + 9) Reorder the terms: 18 + -6x = 7 + -2(4x + 9) Reorder the terms: 18 + -6x = 7 + -2(9 + 4x) 18 + -6x = 7 + (9 * -2 + 4x * -2) 18 + -6x = 7 + (-18 + -8x) Combine like terms: 7 + -18 = -11 18 + -6x = -11 + -8x Solving 18 + -6x = -11 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + -6x + 8x = -11 + -8x + 8x Combine like terms: -6x + 8x = 2x 18 + 2x = -11 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + 2x = -11 + 0 18 + 2x = -11 Add '-18' to each side of the equation. 18 + -18 + 2x = -11 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = -11 + -18 2x = -11 + -18 Combine like terms: -11 + -18 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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