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Simplifying 2[-1(x + -1) + 4] = 5 + [-1(6x + -7) + 9] Reorder the terms: 2[-1(-1 + x) + 4] = 5 + [-1(6x + -7) + 9] 2[(-1 * -1 + x * -1) + 4] = 5 + [-1(6x + -7) + 9] 2[(1 + -1x) + 4] = 5 + [-1(6x + -7) + 9] Reorder the terms: 2[1 + 4 + -1x] = 5 + [-1(6x + -7) + 9] Combine like terms: 1 + 4 = 5 2[5 + -1x] = 5 + [-1(6x + -7) + 9] [5 * 2 + -1x * 2] = 5 + [-1(6x + -7) + 9] [10 + -2x] = 5 + [-1(6x + -7) + 9] Reorder the terms: 10 + -2x = 5 + [-1(-7 + 6x) + 9] 10 + -2x = 5 + [(-7 * -1 + 6x * -1) + 9] 10 + -2x = 5 + [(7 + -6x) + 9] Reorder the terms: 10 + -2x = 5 + [7 + 9 + -6x] Combine like terms: 7 + 9 = 16 10 + -2x = 5 + [16 + -6x] Remove brackets around [16 + -6x] 10 + -2x = 5 + 16 + -6x Combine like terms: 5 + 16 = 21 10 + -2x = 21 + -6x Solving 10 + -2x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 10 + -2x + 6x = 21 + -6x + 6x Combine like terms: -2x + 6x = 4x 10 + 4x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 4x = 21 + 0 10 + 4x = 21 Add '-10' to each side of the equation. 10 + -10 + 4x = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 21 + -10 4x = 21 + -10 Combine like terms: 21 + -10 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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