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Simplifying 7(2 + -1x) = 5(9 + x) (2 * 7 + -1x * 7) = 5(9 + x) (14 + -7x) = 5(9 + x) 14 + -7x = (9 * 5 + x * 5) 14 + -7x = (45 + 5x) Solving 14 + -7x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -7x + -5x = 45 + 5x + -5x Combine like terms: -7x + -5x = -12x 14 + -12x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -12x = 45 + 0 14 + -12x = 45 Add '-14' to each side of the equation. 14 + -14 + -12x = 45 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = 45 + -14 -12x = 45 + -14 Combine like terms: 45 + -14 = 31 -12x = 31 Divide each side by '-12'. x = -2.583333333 Simplifying x = -2.583333333
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