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Simplifying (5x + -7) + (10x + -32) = 14 Reorder the terms: (-7 + 5x) + (10x + -32) = 14 Remove parenthesis around (-7 + 5x) -7 + 5x + (10x + -32) = 14 Reorder the terms: -7 + 5x + (-32 + 10x) = 14 Remove parenthesis around (-32 + 10x) -7 + 5x + -32 + 10x = 14 Reorder the terms: -7 + -32 + 5x + 10x = 14 Combine like terms: -7 + -32 = -39 -39 + 5x + 10x = 14 Combine like terms: 5x + 10x = 15x -39 + 15x = 14 Solving -39 + 15x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 15x = 14 + 39 Combine like terms: -39 + 39 = 0 0 + 15x = 14 + 39 15x = 14 + 39 Combine like terms: 14 + 39 = 53 15x = 53 Divide each side by '15'. x = 3.533333333 Simplifying x = 3.533333333
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