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Simplifying 4(x + 3) + 7(x + 2) = 17 Reorder the terms: 4(3 + x) + 7(x + 2) = 17 (3 * 4 + x * 4) + 7(x + 2) = 17 (12 + 4x) + 7(x + 2) = 17 Reorder the terms: 12 + 4x + 7(2 + x) = 17 12 + 4x + (2 * 7 + x * 7) = 17 12 + 4x + (14 + 7x) = 17 Reorder the terms: 12 + 14 + 4x + 7x = 17 Combine like terms: 12 + 14 = 26 26 + 4x + 7x = 17 Combine like terms: 4x + 7x = 11x 26 + 11x = 17 Solving 26 + 11x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 11x = 17 + -26 Combine like terms: 26 + -26 = 0 0 + 11x = 17 + -26 11x = 17 + -26 Combine like terms: 17 + -26 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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