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Simplifying (2x + -3) + (3x + 12) + -1(4 + -6) = 0 Reorder the terms: (-3 + 2x) + (3x + 12) + -1(4 + -6) = 0 Remove parenthesis around (-3 + 2x) -3 + 2x + (3x + 12) + -1(4 + -6) = 0 Reorder the terms: -3 + 2x + (12 + 3x) + -1(4 + -6) = 0 Remove parenthesis around (12 + 3x) -3 + 2x + 12 + 3x + -1(4 + -6) = 0 Combine like terms: 4 + -6 = -2 -3 + 2x + 12 + 3x + -1(-2) = 0 Multiply -1 * -2 -3 + 2x + 12 + 3x + 2 = 0 Reorder the terms: -3 + 12 + 2 + 2x + 3x = 0 Combine like terms: -3 + 12 = 9 9 + 2 + 2x + 3x = 0 Combine like terms: 9 + 2 = 11 11 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 11 + 5x = 0 Solving 11 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2
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