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Simplifying 2[-1(x + -1) + 4] = 5 + [-6(6x + -7) + 9x] Reorder the terms: 2[-1(-1 + x) + 4] = 5 + [-6(6x + -7) + 9x] 2[(-1 * -1 + x * -1) + 4] = 5 + [-6(6x + -7) + 9x] 2[(1 + -1x) + 4] = 5 + [-6(6x + -7) + 9x] Reorder the terms: 2[1 + 4 + -1x] = 5 + [-6(6x + -7) + 9x] Combine like terms: 1 + 4 = 5 2[5 + -1x] = 5 + [-6(6x + -7) + 9x] [5 * 2 + -1x * 2] = 5 + [-6(6x + -7) + 9x] [10 + -2x] = 5 + [-6(6x + -7) + 9x] Reorder the terms: 10 + -2x = 5 + [-6(-7 + 6x) + 9x] 10 + -2x = 5 + [(-7 * -6 + 6x * -6) + 9x] 10 + -2x = 5 + [(42 + -36x) + 9x] Combine like terms: -36x + 9x = -27x 10 + -2x = 5 + [42 + -27x] Remove brackets around [42 + -27x] 10 + -2x = 5 + 42 + -27x Combine like terms: 5 + 42 = 47 10 + -2x = 47 + -27x Solving 10 + -2x = 47 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 10 + -2x + 27x = 47 + -27x + 27x Combine like terms: -2x + 27x = 25x 10 + 25x = 47 + -27x + 27x Combine like terms: -27x + 27x = 0 10 + 25x = 47 + 0 10 + 25x = 47 Add '-10' to each side of the equation. 10 + -10 + 25x = 47 + -10 Combine like terms: 10 + -10 = 0 0 + 25x = 47 + -10 25x = 47 + -10 Combine like terms: 47 + -10 = 37 25x = 37 Divide each side by '25'. x = 1.48 Simplifying x = 1.48
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