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Simplifying 4(x + 5) + 3(x + 6) = 12 Reorder the terms: 4(5 + x) + 3(x + 6) = 12 (5 * 4 + x * 4) + 3(x + 6) = 12 (20 + 4x) + 3(x + 6) = 12 Reorder the terms: 20 + 4x + 3(6 + x) = 12 20 + 4x + (6 * 3 + x * 3) = 12 20 + 4x + (18 + 3x) = 12 Reorder the terms: 20 + 18 + 4x + 3x = 12 Combine like terms: 20 + 18 = 38 38 + 4x + 3x = 12 Combine like terms: 4x + 3x = 7x 38 + 7x = 12 Solving 38 + 7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 7x = 12 + -38 Combine like terms: 38 + -38 = 0 0 + 7x = 12 + -38 7x = 12 + -38 Combine like terms: 12 + -38 = -26 7x = -26 Divide each side by '7'. x = -3.714285714 Simplifying x = -3.714285714
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