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Simplifying (3x + -2) + -1(12x + 32) = 0 Reorder the terms: (-2 + 3x) + -1(12x + 32) = 0 Remove parenthesis around (-2 + 3x) -2 + 3x + -1(12x + 32) = 0 Reorder the terms: -2 + 3x + -1(32 + 12x) = 0 -2 + 3x + (32 * -1 + 12x * -1) = 0 -2 + 3x + (-32 + -12x) = 0 Reorder the terms: -2 + -32 + 3x + -12x = 0 Combine like terms: -2 + -32 = -34 -34 + 3x + -12x = 0 Combine like terms: 3x + -12x = -9x -34 + -9x = 0 Solving -34 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -9x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -9x = 0 + 34 -9x = 0 + 34 Combine like terms: 0 + 34 = 34 -9x = 34 Divide each side by '-9'. x = -3.777777778 Simplifying x = -3.777777778
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