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Simplifying 7[9 + -1(-7x + -8)] = 245x + 343 Reorder the terms: 7[9 + -1(-8 + -7x)] = 245x + 343 7[9 + (-8 * -1 + -7x * -1)] = 245x + 343 7[9 + (8 + 7x)] = 245x + 343 Combine like terms: 9 + 8 = 17 7[17 + 7x] = 245x + 343 [17 * 7 + 7x * 7] = 245x + 343 [119 + 49x] = 245x + 343 Reorder the terms: 119 + 49x = 343 + 245x Solving 119 + 49x = 343 + 245x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-245x' to each side of the equation. 119 + 49x + -245x = 343 + 245x + -245x Combine like terms: 49x + -245x = -196x 119 + -196x = 343 + 245x + -245x Combine like terms: 245x + -245x = 0 119 + -196x = 343 + 0 119 + -196x = 343 Add '-119' to each side of the equation. 119 + -119 + -196x = 343 + -119 Combine like terms: 119 + -119 = 0 0 + -196x = 343 + -119 -196x = 343 + -119 Combine like terms: 343 + -119 = 224 -196x = 224 Divide each side by '-196'. x = -1.142857143 Simplifying x = -1.142857143
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