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Simplifying 7x + 7 = 3 + -1(6x + -7) Reorder the terms: 7 + 7x = 3 + -1(6x + -7) Reorder the terms: 7 + 7x = 3 + -1(-7 + 6x) 7 + 7x = 3 + (-7 * -1 + 6x * -1) 7 + 7x = 3 + (7 + -6x) Combine like terms: 3 + 7 = 10 7 + 7x = 10 + -6x Solving 7 + 7x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 7x + 6x = 10 + -6x + 6x Combine like terms: 7x + 6x = 13x 7 + 13x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 13x = 10 + 0 7 + 13x = 10 Add '-7' to each side of the equation. 7 + -7 + 13x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 10 + -7 13x = 10 + -7 Combine like terms: 10 + -7 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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