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Simplifying -1[3x + -1(4x + 12)] + -2 = -1[-1(4x + -3)] + 3x Reorder the terms: -1[3x + -1(12 + 4x)] + -2 = -1[-1(4x + -3)] + 3x -1[3x + (12 * -1 + 4x * -1)] + -2 = -1[-1(4x + -3)] + 3x -1[3x + (-12 + -4x)] + -2 = -1[-1(4x + -3)] + 3x Reorder the terms: -1[-12 + 3x + -4x] + -2 = -1[-1(4x + -3)] + 3x Combine like terms: 3x + -4x = -1x -1[-12 + -1x] + -2 = -1[-1(4x + -3)] + 3x [-12 * -1 + -1x * -1] + -2 = -1[-1(4x + -3)] + 3x [12 + 1x] + -2 = -1[-1(4x + -3)] + 3x Reorder the terms: 12 + -2 + 1x = -1[-1(4x + -3)] + 3x Combine like terms: 12 + -2 = 10 10 + 1x = -1[-1(4x + -3)] + 3x Reorder the terms: 10 + 1x = -1[-1(-3 + 4x)] + 3x 10 + 1x = -1[(-3 * -1 + 4x * -1)] + 3x 10 + 1x = -1[(3 + -4x)] + 3x 10 + 1x = [3 * -1 + -4x * -1] + 3x 10 + 1x = [-3 + 4x] + 3x Combine like terms: 4x + 3x = 7x 10 + 1x = -3 + 7x Solving 10 + 1x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 1x + -7x = -3 + 7x + -7x Combine like terms: 1x + -7x = -6x 10 + -6x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -6x = -3 + 0 10 + -6x = -3 Add '-10' to each side of the equation. 10 + -10 + -6x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -3 + -10 -6x = -3 + -10 Combine like terms: -3 + -10 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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