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Simplifying 5(2x + -1) + 2x + -1 = 32 Reorder the terms: 5(-1 + 2x) + 2x + -1 = 32 (-1 * 5 + 2x * 5) + 2x + -1 = 32 (-5 + 10x) + 2x + -1 = 32 Reorder the terms: -5 + -1 + 10x + 2x = 32 Combine like terms: -5 + -1 = -6 -6 + 10x + 2x = 32 Combine like terms: 10x + 2x = 12x -6 + 12x = 32 Solving -6 + 12x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 32 + 6 12x = 32 + 6 Combine like terms: 32 + 6 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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