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Simplifying 9(x + 1) + 7(x + 10) = 6x + -6 Reorder the terms: 9(1 + x) + 7(x + 10) = 6x + -6 (1 * 9 + x * 9) + 7(x + 10) = 6x + -6 (9 + 9x) + 7(x + 10) = 6x + -6 Reorder the terms: 9 + 9x + 7(10 + x) = 6x + -6 9 + 9x + (10 * 7 + x * 7) = 6x + -6 9 + 9x + (70 + 7x) = 6x + -6 Reorder the terms: 9 + 70 + 9x + 7x = 6x + -6 Combine like terms: 9 + 70 = 79 79 + 9x + 7x = 6x + -6 Combine like terms: 9x + 7x = 16x 79 + 16x = 6x + -6 Reorder the terms: 79 + 16x = -6 + 6x Solving 79 + 16x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 79 + 16x + -6x = -6 + 6x + -6x Combine like terms: 16x + -6x = 10x 79 + 10x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 79 + 10x = -6 + 0 79 + 10x = -6 Add '-79' to each side of the equation. 79 + -79 + 10x = -6 + -79 Combine like terms: 79 + -79 = 0 0 + 10x = -6 + -79 10x = -6 + -79 Combine like terms: -6 + -79 = -85 10x = -85 Divide each side by '10'. x = -8.5 Simplifying x = -8.5
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