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Simplifying 5(2x + -1) + (3x + -32) = 67 Reorder the terms: 5(-1 + 2x) + (3x + -32) = 67 (-1 * 5 + 2x * 5) + (3x + -32) = 67 (-5 + 10x) + (3x + -32) = 67 Reorder the terms: -5 + 10x + (-32 + 3x) = 67 Remove parenthesis around (-32 + 3x) -5 + 10x + -32 + 3x = 67 Reorder the terms: -5 + -32 + 10x + 3x = 67 Combine like terms: -5 + -32 = -37 -37 + 10x + 3x = 67 Combine like terms: 10x + 3x = 13x -37 + 13x = 67 Solving -37 + 13x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 13x = 67 + 37 Combine like terms: -37 + 37 = 0 0 + 13x = 67 + 37 13x = 67 + 37 Combine like terms: 67 + 37 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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