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Simplifying 5x + 5 = 3 + -1(7x + -7) Reorder the terms: 5 + 5x = 3 + -1(7x + -7) Reorder the terms: 5 + 5x = 3 + -1(-7 + 7x) 5 + 5x = 3 + (-7 * -1 + 7x * -1) 5 + 5x = 3 + (7 + -7x) Combine like terms: 3 + 7 = 10 5 + 5x = 10 + -7x Solving 5 + 5x = 10 + -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 = 10 + -7x + 7x Combine like terms: 5x + 7x = 12x 5 + 12x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 12x = 10 + 0 5 + 12x = 10 Add '-5' to each side of the equation. 5 + -5 + 12x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 10 + -5 12x = 10 + -5 Combine like terms: 10 + -5 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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