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Simplifying 7(2 + x) = 35 + -5(x + -12) (2 * 7 + x * 7) = 35 + -5(x + -12) (14 + 7x) = 35 + -5(x + -12) Reorder the terms: 14 + 7x = 35 + -5(-12 + x) 14 + 7x = 35 + (-12 * -5 + x * -5) 14 + 7x = 35 + (60 + -5x) Combine like terms: 35 + 60 = 95 14 + 7x = 95 + -5x Solving 14 + 7x = 95 + -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 = 95 + -5x + 5x Combine like terms: 7x + 5x = 12x 14 + 12x = 95 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 12x = 95 + 0 14 + 12x = 95 Add '-14' to each side of the equation. 14 + -14 + 12x = 95 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 95 + -14 12x = 95 + -14 Combine like terms: 95 + -14 = 81 12x = 81 Divide each side by '12'. x = 6.75 Simplifying x = 6.75
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