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Simplifying (5x + -2) + (x + 12) = 40 Reorder the terms: (-2 + 5x) + (x + 12) = 40 Remove parenthesis around (-2 + 5x) -2 + 5x + (x + 12) = 40 Reorder the terms: -2 + 5x + (12 + x) = 40 Remove parenthesis around (12 + x) -2 + 5x + 12 + x = 40 Reorder the terms: -2 + 12 + 5x + x = 40 Combine like terms: -2 + 12 = 10 10 + 5x + x = 40 Combine like terms: 5x + x = 6x 10 + 6x = 40 Solving 10 + 6x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 40 + -10 6x = 40 + -10 Combine like terms: 40 + -10 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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