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Simplifying [(3 + 5x) + -1(4x + -7)] = 0 Remove parenthesis around (3 + 5x) [3 + 5x + -1(4x + -7)] = 0 Reorder the terms: [3 + 5x + -1(-7 + 4x)] = 0 [3 + 5x + (-7 * -1 + 4x * -1)] = 0 [3 + 5x + (7 + -4x)] = 0 Reorder the terms: [3 + 7 + 5x + -4x] = 0 Combine like terms: 3 + 7 = 10 [10 + 5x + -4x] = 0 Combine like terms: 5x + -4x = 1x [10 + 1x] = 0 Remove brackets around [10 + 1x] 10 + 1x = 0 Solving 10 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 0 + -10 1x = 0 + -10 Combine like terms: 0 + -10 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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