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Simplifying 3[6 + -4(x + -5)] = 5x + 2[2 + 7(1 + -1x)] Reorder the terms: 3[6 + -4(-5 + x)] = 5x + 2[2 + 7(1 + -1x)] 3[6 + (-5 * -4 + x * -4)] = 5x + 2[2 + 7(1 + -1x)] 3[6 + (20 + -4x)] = 5x + 2[2 + 7(1 + -1x)] Combine like terms: 6 + 20 = 26 3[26 + -4x] = 5x + 2[2 + 7(1 + -1x)] [26 * 3 + -4x * 3] = 5x + 2[2 + 7(1 + -1x)] [78 + -12x] = 5x + 2[2 + 7(1 + -1x)] 78 + -12x = 5x + 2[2 + (1 * 7 + -1x * 7)] 78 + -12x = 5x + 2[2 + (7 + -7x)] Combine like terms: 2 + 7 = 9 78 + -12x = 5x + 2[9 + -7x] 78 + -12x = 5x + [9 * 2 + -7x * 2] 78 + -12x = 5x + [18 + -14x] Reorder the terms: 78 + -12x = 18 + 5x + -14x Combine like terms: 5x + -14x = -9x 78 + -12x = 18 + -9x Solving 78 + -12x = 18 + -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. 78 + -12x + 9x = 18 + -9x + 9x Combine like terms: -12x + 9x = -3x 78 + -3x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 78 + -3x = 18 + 0 78 + -3x = 18 Add '-78' to each side of the equation. 78 + -78 + -3x = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -3x = 18 + -78 -3x = 18 + -78 Combine like terms: 18 + -78 = -60 -3x = -60 Divide each side by '-3'. x = 20 Simplifying x = 20
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