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Simplifying (7x + 3) + -1(4x + -8) = 42 Reorder the terms: (3 + 7x) + -1(4x + -8) = 42 Remove parenthesis around (3 + 7x) 3 + 7x + -1(4x + -8) = 42 Reorder the terms: 3 + 7x + -1(-8 + 4x) = 42 3 + 7x + (-8 * -1 + 4x * -1) = 42 3 + 7x + (8 + -4x) = 42 Reorder the terms: 3 + 8 + 7x + -4x = 42 Combine like terms: 3 + 8 = 11 11 + 7x + -4x = 42 Combine like terms: 7x + -4x = 3x 11 + 3x = 42 Solving 11 + 3x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 42 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 42 + -11 3x = 42 + -11 Combine like terms: 42 + -11 = 31 3x = 31 Divide each side by '3'. x = 10.33333333 Simplifying x = 10.33333333
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