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Simplifying 2[7 + -5(1 + -1x)] + 6x = -12 + 3[6(x + 1) + -3x] 2[7 + (1 * -5 + -1x * -5)] + 6x = -12 + 3[6(x + 1) + -3x] 2[7 + (-5 + 5x)] + 6x = -12 + 3[6(x + 1) + -3x] Combine like terms: 7 + -5 = 2 2[2 + 5x] + 6x = -12 + 3[6(x + 1) + -3x] [2 * 2 + 5x * 2] + 6x = -12 + 3[6(x + 1) + -3x] [4 + 10x] + 6x = -12 + 3[6(x + 1) + -3x] Combine like terms: 10x + 6x = 16x 4 + 16x = -12 + 3[6(x + 1) + -3x] Reorder the terms: 4 + 16x = -12 + 3[6(1 + x) + -3x] 4 + 16x = -12 + 3[(1 * 6 + x * 6) + -3x] 4 + 16x = -12 + 3[(6 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 4 + 16x = -12 + 3[6 + 3x] 4 + 16x = -12 + [6 * 3 + 3x * 3] 4 + 16x = -12 + [18 + 9x] Combine like terms: -12 + 18 = 6 4 + 16x = 6 + 9x Solving 4 + 16x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 16x + -9x = 6 + 9x + -9x Combine like terms: 16x + -9x = 7x 4 + 7x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + 7x = 6 + 0 4 + 7x = 6 Add '-4' to each side of the equation. 4 + -4 + 7x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 6 + -4 7x = 6 + -4 Combine like terms: 6 + -4 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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