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Simplifying 5[3 + -1(-7x + -7)] = 280x + 295 Reorder the terms: 5[3 + -1(-7 + -7x)] = 280x + 295 5[3 + (-7 * -1 + -7x * -1)] = 280x + 295 5[3 + (7 + 7x)] = 280x + 295 Combine like terms: 3 + 7 = 10 5[10 + 7x] = 280x + 295 [10 * 5 + 7x * 5] = 280x + 295 [50 + 35x] = 280x + 295 Reorder the terms: 50 + 35x = 295 + 280x Solving 50 + 35x = 295 + 280x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-280x' to each side of the equation. 50 + 35x + -280x = 295 + 280x + -280x Combine like terms: 35x + -280x = -245x 50 + -245x = 295 + 280x + -280x Combine like terms: 280x + -280x = 0 50 + -245x = 295 + 0 50 + -245x = 295 Add '-50' to each side of the equation. 50 + -50 + -245x = 295 + -50 Combine like terms: 50 + -50 = 0 0 + -245x = 295 + -50 -245x = 295 + -50 Combine like terms: 295 + -50 = 245 -245x = 245 Divide each side by '-245'. x = -1 Simplifying x = -1
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