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Simplifying -1[6x + -1(2x + 5)] = -6[6(2x + -5) + -6x] Reorder the terms: -1[6x + -1(5 + 2x)] = -6[6(2x + -5) + -6x] -1[6x + (5 * -1 + 2x * -1)] = -6[6(2x + -5) + -6x] -1[6x + (-5 + -2x)] = -6[6(2x + -5) + -6x] Reorder the terms: -1[-5 + 6x + -2x] = -6[6(2x + -5) + -6x] Combine like terms: 6x + -2x = 4x -1[-5 + 4x] = -6[6(2x + -5) + -6x] [-5 * -1 + 4x * -1] = -6[6(2x + -5) + -6x] [5 + -4x] = -6[6(2x + -5) + -6x] Reorder the terms: 5 + -4x = -6[6(-5 + 2x) + -6x] 5 + -4x = -6[(-5 * 6 + 2x * 6) + -6x] 5 + -4x = -6[(-30 + 12x) + -6x] Combine like terms: 12x + -6x = 6x 5 + -4x = -6[-30 + 6x] 5 + -4x = [-30 * -6 + 6x * -6] 5 + -4x = [180 + -36x] Solving 5 + -4x = 180 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 5 + -4x + 36x = 180 + -36x + 36x Combine like terms: -4x + 36x = 32x 5 + 32x = 180 + -36x + 36x Combine like terms: -36x + 36x = 0 5 + 32x = 180 + 0 5 + 32x = 180 Add '-5' to each side of the equation. 5 + -5 + 32x = 180 + -5 Combine like terms: 5 + -5 = 0 0 + 32x = 180 + -5 32x = 180 + -5 Combine like terms: 180 + -5 = 175 32x = 175 Divide each side by '32'. x = 5.46875 Simplifying x = 5.46875
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