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Simplifying (x + 4) + (2x + -7) = 42 Reorder the terms: (4 + x) + (2x + -7) = 42 Remove parenthesis around (4 + x) 4 + x + (2x + -7) = 42 Reorder the terms: 4 + x + (-7 + 2x) = 42 Remove parenthesis around (-7 + 2x) 4 + x + -7 + 2x = 42 Reorder the terms: 4 + -7 + x + 2x = 42 Combine like terms: 4 + -7 = -3 -3 + x + 2x = 42 Combine like terms: x + 2x = 3x -3 + 3x = 42 Solving -3 + 3x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 42 + 3 3x = 42 + 3 Combine like terms: 42 + 3 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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