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Simplifying (7x + 3) + -1(3x + 13) + -74 = 0 Reorder the terms: (3 + 7x) + -1(3x + 13) + -74 = 0 Remove parenthesis around (3 + 7x) 3 + 7x + -1(3x + 13) + -74 = 0 Reorder the terms: 3 + 7x + -1(13 + 3x) + -74 = 0 3 + 7x + (13 * -1 + 3x * -1) + -74 = 0 3 + 7x + (-13 + -3x) + -74 = 0 Reorder the terms: 3 + -13 + -74 + 7x + -3x = 0 Combine like terms: 3 + -13 = -10 -10 + -74 + 7x + -3x = 0 Combine like terms: -10 + -74 = -84 -84 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x -84 + 4x = 0 Solving -84 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 4x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 4x = 0 + 84 4x = 0 + 84 Combine like terms: 0 + 84 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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