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Simplifying 9(3x + 4) + 2(7x + -2) = 16 Reorder the terms: 9(4 + 3x) + 2(7x + -2) = 16 (4 * 9 + 3x * 9) + 2(7x + -2) = 16 (36 + 27x) + 2(7x + -2) = 16 Reorder the terms: 36 + 27x + 2(-2 + 7x) = 16 36 + 27x + (-2 * 2 + 7x * 2) = 16 36 + 27x + (-4 + 14x) = 16 Reorder the terms: 36 + -4 + 27x + 14x = 16 Combine like terms: 36 + -4 = 32 32 + 27x + 14x = 16 Combine like terms: 27x + 14x = 41x 32 + 41x = 16 Solving 32 + 41x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 41x = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 41x = 16 + -32 41x = 16 + -32 Combine like terms: 16 + -32 = -16 41x = -16 Divide each side by '41'. x = -0.3902439024 Simplifying x = -0.3902439024
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