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Simplifying 2[2x + -1(6x + -3)] = 4 + -1(2x + -12) Reorder the terms: 2[2x + -1(-3 + 6x)] = 4 + -1(2x + -12) 2[2x + (-3 * -1 + 6x * -1)] = 4 + -1(2x + -12) 2[2x + (3 + -6x)] = 4 + -1(2x + -12) Reorder the terms: 2[3 + 2x + -6x] = 4 + -1(2x + -12) Combine like terms: 2x + -6x = -4x 2[3 + -4x] = 4 + -1(2x + -12) [3 * 2 + -4x * 2] = 4 + -1(2x + -12) [6 + -8x] = 4 + -1(2x + -12) Reorder the terms: 6 + -8x = 4 + -1(-12 + 2x) 6 + -8x = 4 + (-12 * -1 + 2x * -1) 6 + -8x = 4 + (12 + -2x) Combine like terms: 4 + 12 = 16 6 + -8x = 16 + -2x Solving 6 + -8x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -8x + 2x = 16 + -2x + 2x Combine like terms: -8x + 2x = -6x 6 + -6x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -6x = 16 + 0 6 + -6x = 16 Add '-6' to each side of the equation. 6 + -6 + -6x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 16 + -6 -6x = 16 + -6 Combine like terms: 16 + -6 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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