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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 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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