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Simplifying 9(x + 6) = -5[x + -1(2 + -1x)] Reorder the terms: 9(6 + x) = -5[x + -1(2 + -1x)] (6 * 9 + x * 9) = -5[x + -1(2 + -1x)] (54 + 9x) = -5[x + -1(2 + -1x)] 54 + 9x = -5[x + (2 * -1 + -1x * -1)] 54 + 9x = -5[x + (-2 + 1x)] Reorder the terms: 54 + 9x = -5[-2 + x + 1x] Combine like terms: x + 1x = 2x 54 + 9x = -5[-2 + 2x] 54 + 9x = [-2 * -5 + 2x * -5] 54 + 9x = [10 + -10x] Solving 54 + 9x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 54 + 9x + 10x = 10 + -10x + 10x Combine like terms: 9x + 10x = 19x 54 + 19x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 54 + 19x = 10 + 0 54 + 19x = 10 Add '-54' to each side of the equation. 54 + -54 + 19x = 10 + -54 Combine like terms: 54 + -54 = 0 0 + 19x = 10 + -54 19x = 10 + -54 Combine like terms: 10 + -54 = -44 19x = -44 Divide each side by '19'. x = -2.315789474 Simplifying x = -2.315789474
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