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Simplifying (x + 7)(2) = (18)(x + -1) Reorder the terms: (7 + x)(2) = (18)(x + -1) Reorder the terms for easier multiplication: 2(7 + x) = (18)(x + -1) (7 * 2 + x * 2) = (18)(x + -1) (14 + 2x) = (18)(x + -1) Reorder the terms: 14 + 2x = 18(-1 + x) 14 + 2x = (-1 * 18 + x * 18) 14 + 2x = (-18 + 18x) Solving 14 + 2x = -18 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 14 + 2x + -18x = -18 + 18x + -18x Combine like terms: 2x + -18x = -16x 14 + -16x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 14 + -16x = -18 + 0 14 + -16x = -18 Add '-14' to each side of the equation. 14 + -14 + -16x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -18 + -14 -16x = -18 + -14 Combine like terms: -18 + -14 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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