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Simplifying 9(x + -2) = 5[11 + -2(2 + -1x) + 3] Reorder the terms: 9(-2 + x) = 5[11 + -2(2 + -1x) + 3] (-2 * 9 + x * 9) = 5[11 + -2(2 + -1x) + 3] (-18 + 9x) = 5[11 + -2(2 + -1x) + 3] -18 + 9x = 5[11 + (2 * -2 + -1x * -2) + 3] -18 + 9x = 5[11 + (-4 + 2x) + 3] Reorder the terms: -18 + 9x = 5[11 + -4 + 3 + 2x] Combine like terms: 11 + -4 = 7 -18 + 9x = 5[7 + 3 + 2x] Combine like terms: 7 + 3 = 10 -18 + 9x = 5[10 + 2x] -18 + 9x = [10 * 5 + 2x * 5] -18 + 9x = [50 + 10x] Solving -18 + 9x = 50 + 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. -18 + 9x + -10x = 50 + 10x + -10x Combine like terms: 9x + -10x = -1x -18 + -1x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -1x = 50 + 0 -18 + -1x = 50 Add '18' to each side of the equation. -18 + 18 + -1x = 50 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 50 + 18 -1x = 50 + 18 Combine like terms: 50 + 18 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68
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