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Simplifying (3x + -34) + (x + -7) = 23 Reorder the terms: (-34 + 3x) + (x + -7) = 23 Remove parenthesis around (-34 + 3x) -34 + 3x + (x + -7) = 23 Reorder the terms: -34 + 3x + (-7 + x) = 23 Remove parenthesis around (-7 + x) -34 + 3x + -7 + x = 23 Reorder the terms: -34 + -7 + 3x + x = 23 Combine like terms: -34 + -7 = -41 -41 + 3x + x = 23 Combine like terms: 3x + x = 4x -41 + 4x = 23 Solving -41 + 4x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 4x = 23 + 41 Combine like terms: -41 + 41 = 0 0 + 4x = 23 + 41 4x = 23 + 41 Combine like terms: 23 + 41 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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