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Simplifying 9(x + 2) + 7(x + 2) = 5x + -5 Reorder the terms: 9(2 + x) + 7(x + 2) = 5x + -5 (2 * 9 + x * 9) + 7(x + 2) = 5x + -5 (18 + 9x) + 7(x + 2) = 5x + -5 Reorder the terms: 18 + 9x + 7(2 + x) = 5x + -5 18 + 9x + (2 * 7 + x * 7) = 5x + -5 18 + 9x + (14 + 7x) = 5x + -5 Reorder the terms: 18 + 14 + 9x + 7x = 5x + -5 Combine like terms: 18 + 14 = 32 32 + 9x + 7x = 5x + -5 Combine like terms: 9x + 7x = 16x 32 + 16x = 5x + -5 Reorder the terms: 32 + 16x = -5 + 5x Solving 32 + 16x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + 16x + -5x = -5 + 5x + -5x Combine like terms: 16x + -5x = 11x 32 + 11x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 11x = -5 + 0 32 + 11x = -5 Add '-32' to each side of the equation. 32 + -32 + 11x = -5 + -32 Combine like terms: 32 + -32 = 0 0 + 11x = -5 + -32 11x = -5 + -32 Combine like terms: -5 + -32 = -37 11x = -37 Divide each side by '11'. x = -3.363636364 Simplifying x = -3.363636364
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