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Simplifying 9(x + 9) = 5(x + -1(6 + -1x)) Reorder the terms: 9(9 + x) = 5(x + -1(6 + -1x)) (9 * 9 + x * 9) = 5(x + -1(6 + -1x)) (81 + 9x) = 5(x + -1(6 + -1x)) 81 + 9x = 5(x + (6 * -1 + -1x * -1)) 81 + 9x = 5(x + (-6 + 1x)) Reorder the terms: 81 + 9x = 5(-6 + x + 1x) Combine like terms: x + 1x = 2x 81 + 9x = 5(-6 + 2x) 81 + 9x = (-6 * 5 + 2x * 5) 81 + 9x = (-30 + 10x) Solving 81 + 9x = -30 + 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 = -30 + 10x + -10x Combine like terms: 9x + -10x = -1x 81 + -1x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 81 + -1x = -30 + 0 81 + -1x = -30 Add '-81' to each side of the equation. 81 + -81 + -1x = -30 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = -30 + -81 -1x = -30 + -81 Combine like terms: -30 + -81 = -111 -1x = -111 Divide each side by '-1'. x = 111 Simplifying x = 111
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