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Simplifying 6x + 7(7x + 31) = 2(5 + -7x) Reorder the terms: 6x + 7(31 + 7x) = 2(5 + -7x) 6x + (31 * 7 + 7x * 7) = 2(5 + -7x) 6x + (217 + 49x) = 2(5 + -7x) Reorder the terms: 217 + 6x + 49x = 2(5 + -7x) Combine like terms: 6x + 49x = 55x 217 + 55x = 2(5 + -7x) 217 + 55x = (5 * 2 + -7x * 2) 217 + 55x = (10 + -14x) Solving 217 + 55x = 10 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 217 + 55x + 14x = 10 + -14x + 14x Combine like terms: 55x + 14x = 69x 217 + 69x = 10 + -14x + 14x Combine like terms: -14x + 14x = 0 217 + 69x = 10 + 0 217 + 69x = 10 Add '-217' to each side of the equation. 217 + -217 + 69x = 10 + -217 Combine like terms: 217 + -217 = 0 0 + 69x = 10 + -217 69x = 10 + -217 Combine like terms: 10 + -217 = -207 69x = -207 Divide each side by '69'. x = -3 Simplifying x = -3
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