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Simplifying 9(x + 9) = 5[x + -1(9 + -1x)] Reorder the terms: 9(9 + x) = 5[x + -1(9 + -1x)] (9 * 9 + x * 9) = 5[x + -1(9 + -1x)] (81 + 9x) = 5[x + -1(9 + -1x)] 81 + 9x = 5[x + (9 * -1 + -1x * -1)] 81 + 9x = 5[x + (-9 + 1x)] Reorder the terms: 81 + 9x = 5[-9 + x + 1x] Combine like terms: x + 1x = 2x 81 + 9x = 5[-9 + 2x] 81 + 9x = [-9 * 5 + 2x * 5] 81 + 9x = [-45 + 10x] Solving 81 + 9x = -45 + 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. 81 + 9x + -10x = -45 + 10x + -10x Combine like terms: 9x + -10x = -1x 81 + -1x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 81 + -1x = -45 + 0 81 + -1x = -45 Add '-81' to each side of the equation. 81 + -81 + -1x = -45 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = -45 + -81 -1x = -45 + -81 Combine like terms: -45 + -81 = -126 -1x = -126 Divide each side by '-1'. x = 126 Simplifying x = 126
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