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Simplifying 9(x + 2) = 5[x + -1(5 + -1x)] Reorder the terms: 9(2 + x) = 5[x + -1(5 + -1x)] (2 * 9 + x * 9) = 5[x + -1(5 + -1x)] (18 + 9x) = 5[x + -1(5 + -1x)] 18 + 9x = 5[x + (5 * -1 + -1x * -1)] 18 + 9x = 5[x + (-5 + 1x)] Reorder the terms: 18 + 9x = 5[-5 + x + 1x] Combine like terms: x + 1x = 2x 18 + 9x = 5[-5 + 2x] 18 + 9x = [-5 * 5 + 2x * 5] 18 + 9x = [-25 + 10x] Solving 18 + 9x = -25 + 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 = -25 + 10x + -10x Combine like terms: 9x + -10x = -1x 18 + -1x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -1x = -25 + 0 18 + -1x = -25 Add '-18' to each side of the equation. 18 + -18 + -1x = -25 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -25 + -18 -1x = -25 + -18 Combine like terms: -25 + -18 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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