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Simplifying 9(x + 1) + 7(x + 1) = 7x + -7 Reorder the terms: 9(1 + x) + 7(x + 1) = 7x + -7 (1 * 9 + x * 9) + 7(x + 1) = 7x + -7 (9 + 9x) + 7(x + 1) = 7x + -7 Reorder the terms: 9 + 9x + 7(1 + x) = 7x + -7 9 + 9x + (1 * 7 + x * 7) = 7x + -7 9 + 9x + (7 + 7x) = 7x + -7 Reorder the terms: 9 + 7 + 9x + 7x = 7x + -7 Combine like terms: 9 + 7 = 16 16 + 9x + 7x = 7x + -7 Combine like terms: 9x + 7x = 16x 16 + 16x = 7x + -7 Reorder the terms: 16 + 16x = -7 + 7x Solving 16 + 16x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 16x + -7x = -7 + 7x + -7x Combine like terms: 16x + -7x = 9x 16 + 9x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 9x = -7 + 0 16 + 9x = -7 Add '-16' to each side of the equation. 16 + -16 + 9x = -7 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = -7 + -16 9x = -7 + -16 Combine like terms: -7 + -16 = -23 9x = -23 Divide each side by '9'. x = -2.555555556 Simplifying x = -2.555555556
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