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Simplifying 7[7 + -1(-7x + -5)] = 245x + 224 Reorder the terms: 7[7 + -1(-5 + -7x)] = 245x + 224 7[7 + (-5 * -1 + -7x * -1)] = 245x + 224 7[7 + (5 + 7x)] = 245x + 224 Combine like terms: 7 + 5 = 12 7[12 + 7x] = 245x + 224 [12 * 7 + 7x * 7] = 245x + 224 [84 + 49x] = 245x + 224 Reorder the terms: 84 + 49x = 224 + 245x Solving 84 + 49x = 224 + 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. 84 + 49x + -245x = 224 + 245x + -245x Combine like terms: 49x + -245x = -196x 84 + -196x = 224 + 245x + -245x Combine like terms: 245x + -245x = 0 84 + -196x = 224 + 0 84 + -196x = 224 Add '-84' to each side of the equation. 84 + -84 + -196x = 224 + -84 Combine like terms: 84 + -84 = 0 0 + -196x = 224 + -84 -196x = 224 + -84 Combine like terms: 224 + -84 = 140 -196x = 140 Divide each side by '-196'. x = -0.7142857143 Simplifying x = -0.7142857143
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