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Simplifying 9(x + 9) + x = 3(x + 3) + -4 Reorder the terms: 9(9 + x) + x = 3(x + 3) + -4 (9 * 9 + x * 9) + x = 3(x + 3) + -4 (81 + 9x) + x = 3(x + 3) + -4 Combine like terms: 9x + x = 10x 81 + 10x = 3(x + 3) + -4 Reorder the terms: 81 + 10x = 3(3 + x) + -4 81 + 10x = (3 * 3 + x * 3) + -4 81 + 10x = (9 + 3x) + -4 Reorder the terms: 81 + 10x = 9 + -4 + 3x Combine like terms: 9 + -4 = 5 81 + 10x = 5 + 3x Solving 81 + 10x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 81 + 10x + -3x = 5 + 3x + -3x Combine like terms: 10x + -3x = 7x 81 + 7x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 81 + 7x = 5 + 0 81 + 7x = 5 Add '-81' to each side of the equation. 81 + -81 + 7x = 5 + -81 Combine like terms: 81 + -81 = 0 0 + 7x = 5 + -81 7x = 5 + -81 Combine like terms: 5 + -81 = -76 7x = -76 Divide each side by '7'. x = -10.85714286 Simplifying x = -10.85714286
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