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Simplifying 6x + -1(8 + -1x) = 9[-2 + -1(5 + 2x) + -12] 6x + (8 * -1 + -1x * -1) = 9[-2 + -1(5 + 2x) + -12] 6x + (-8 + 1x) = 9[-2 + -1(5 + 2x) + -12] Reorder the terms: -8 + 6x + 1x = 9[-2 + -1(5 + 2x) + -12] Combine like terms: 6x + 1x = 7x -8 + 7x = 9[-2 + -1(5 + 2x) + -12] -8 + 7x = 9[-2 + (5 * -1 + 2x * -1) + -12] -8 + 7x = 9[-2 + (-5 + -2x) + -12] Reorder the terms: -8 + 7x = 9[-2 + -5 + -12 + -2x] Combine like terms: -2 + -5 = -7 -8 + 7x = 9[-7 + -12 + -2x] Combine like terms: -7 + -12 = -19 -8 + 7x = 9[-19 + -2x] -8 + 7x = [-19 * 9 + -2x * 9] -8 + 7x = [-171 + -18x] Solving -8 + 7x = -171 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -8 + 7x + 18x = -171 + -18x + 18x Combine like terms: 7x + 18x = 25x -8 + 25x = -171 + -18x + 18x Combine like terms: -18x + 18x = 0 -8 + 25x = -171 + 0 -8 + 25x = -171 Add '8' to each side of the equation. -8 + 8 + 25x = -171 + 8 Combine like terms: -8 + 8 = 0 0 + 25x = -171 + 8 25x = -171 + 8 Combine like terms: -171 + 8 = -163 25x = -163 Divide each side by '25'. x = -6.52 Simplifying x = -6.52
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