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Simplifying 9(x + 6) + 7(x + 6) = 6x + -6 Reorder the terms: 9(6 + x) + 7(x + 6) = 6x + -6 (6 * 9 + x * 9) + 7(x + 6) = 6x + -6 (54 + 9x) + 7(x + 6) = 6x + -6 Reorder the terms: 54 + 9x + 7(6 + x) = 6x + -6 54 + 9x + (6 * 7 + x * 7) = 6x + -6 54 + 9x + (42 + 7x) = 6x + -6 Reorder the terms: 54 + 42 + 9x + 7x = 6x + -6 Combine like terms: 54 + 42 = 96 96 + 9x + 7x = 6x + -6 Combine like terms: 9x + 7x = 16x 96 + 16x = 6x + -6 Reorder the terms: 96 + 16x = -6 + 6x Solving 96 + 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. 96 + 16x + -6x = -6 + 6x + -6x Combine like terms: 16x + -6x = 10x 96 + 10x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 96 + 10x = -6 + 0 96 + 10x = -6 Add '-96' to each side of the equation. 96 + -96 + 10x = -6 + -96 Combine like terms: 96 + -96 = 0 0 + 10x = -6 + -96 10x = -6 + -96 Combine like terms: -6 + -96 = -102 10x = -102 Divide each side by '10'. x = -10.2 Simplifying x = -10.2
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