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Simplifying [(3x + 5) + -1(4x + -7)] = 0 Reorder the terms: [(5 + 3x) + -1(4x + -7)] = 0 Remove parenthesis around (5 + 3x) [5 + 3x + -1(4x + -7)] = 0 Reorder the terms: [5 + 3x + -1(-7 + 4x)] = 0 [5 + 3x + (-7 * -1 + 4x * -1)] = 0 [5 + 3x + (7 + -4x)] = 0 Reorder the terms: [5 + 7 + 3x + -4x] = 0 Combine like terms: 5 + 7 = 12 [12 + 3x + -4x] = 0 Combine like terms: 3x + -4x = -1x [12 + -1x] = 0 Remove brackets around [12 + -1x] 12 + -1x = 0 Solving 12 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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