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Simplifying 205 = 6x + 5(-7x + 12) Reorder the terms: 205 = 6x + 5(12 + -7x) 205 = 6x + (12 * 5 + -7x * 5) 205 = 6x + (60 + -35x) Reorder the terms: 205 = 60 + 6x + -35x Combine like terms: 6x + -35x = -29x 205 = 60 + -29x Solving 205 = 60 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 205 + 29x = 60 + -29x + 29x Combine like terms: -29x + 29x = 0 205 + 29x = 60 + 0 205 + 29x = 60 Add '-205' to each side of the equation. 205 + -205 + 29x = 60 + -205 Combine like terms: 205 + -205 = 0 0 + 29x = 60 + -205 29x = 60 + -205 Combine like terms: 60 + -205 = -145 29x = -145 Divide each side by '29'. x = -5 Simplifying x = -5
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