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Simplifying (12x + -3) + -1(8x + 5) = 32 Reorder the terms: (-3 + 12x) + -1(8x + 5) = 32 Remove parenthesis around (-3 + 12x) -3 + 12x + -1(8x + 5) = 32 Reorder the terms: -3 + 12x + -1(5 + 8x) = 32 -3 + 12x + (5 * -1 + 8x * -1) = 32 -3 + 12x + (-5 + -8x) = 32 Reorder the terms: -3 + -5 + 12x + -8x = 32 Combine like terms: -3 + -5 = -8 -8 + 12x + -8x = 32 Combine like terms: 12x + -8x = 4x -8 + 4x = 32 Solving -8 + 4x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 32 + 8 4x = 32 + 8 Combine like terms: 32 + 8 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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