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Simplifying (3x + 5) + (x + -2) = 102 Reorder the terms: (5 + 3x) + (x + -2) = 102 Remove parenthesis around (5 + 3x) 5 + 3x + (x + -2) = 102 Reorder the terms: 5 + 3x + (-2 + x) = 102 Remove parenthesis around (-2 + x) 5 + 3x + -2 + x = 102 Reorder the terms: 5 + -2 + 3x + x = 102 Combine like terms: 5 + -2 = 3 3 + 3x + x = 102 Combine like terms: 3x + x = 4x 3 + 4x = 102 Solving 3 + 4x = 102 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 + 4x = 102 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 102 + -3 4x = 102 + -3 Combine like terms: 102 + -3 = 99 4x = 99 Divide each side by '4'. x = 24.75 Simplifying x = 24.75
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