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Simplifying 5x + 5 = 3 + -1(7x + -6) Reorder the terms: 5 + 5x = 3 + -1(7x + -6) Reorder the terms: 5 + 5x = 3 + -1(-6 + 7x) 5 + 5x = 3 + (-6 * -1 + 7x * -1) 5 + 5x = 3 + (6 + -7x) Combine like terms: 3 + 6 = 9 5 + 5x = 9 + -7x Solving 5 + 5x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 5x + 7x = 9 + -7x + 7x Combine like terms: 5x + 7x = 12x 5 + 12x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 12x = 9 + 0 5 + 12x = 9 Add '-5' to each side of the equation. 5 + -5 + 12x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 9 + -5 12x = 9 + -5 Combine like terms: 9 + -5 = 4 12x = 4 Divide each side by '12'. x = 0.3333333333 Simplifying x = 0.3333333333
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