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Simplifying (2x + -3) + (3x + 12) + -1(4 + -6x) = 0 Reorder the terms: (-3 + 2x) + (3x + 12) + -1(4 + -6x) = 0 Remove parenthesis around (-3 + 2x) -3 + 2x + (3x + 12) + -1(4 + -6x) = 0 Reorder the terms: -3 + 2x + (12 + 3x) + -1(4 + -6x) = 0 Remove parenthesis around (12 + 3x) -3 + 2x + 12 + 3x + -1(4 + -6x) = 0 -3 + 2x + 12 + 3x + (4 * -1 + -6x * -1) = 0 -3 + 2x + 12 + 3x + (-4 + 6x) = 0 Reorder the terms: -3 + 12 + -4 + 2x + 3x + 6x = 0 Combine like terms: -3 + 12 = 9 9 + -4 + 2x + 3x + 6x = 0 Combine like terms: 9 + -4 = 5 5 + 2x + 3x + 6x = 0 Combine like terms: 2x + 3x = 5x 5 + 5x + 6x = 0 Combine like terms: 5x + 6x = 11x 5 + 11x = 0 Solving 5 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 0 + -5 11x = 0 + -5 Combine like terms: 0 + -5 = -5 11x = -5 Divide each side by '11'. x = -0.4545454545 Simplifying x = -0.4545454545
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