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Simplifying 12(6x + 5) = 4 + -1(5x + 2) Reorder the terms: 12(5 + 6x) = 4 + -1(5x + 2) (5 * 12 + 6x * 12) = 4 + -1(5x + 2) (60 + 72x) = 4 + -1(5x + 2) Reorder the terms: 60 + 72x = 4 + -1(2 + 5x) 60 + 72x = 4 + (2 * -1 + 5x * -1) 60 + 72x = 4 + (-2 + -5x) Combine like terms: 4 + -2 = 2 60 + 72x = 2 + -5x Solving 60 + 72x = 2 + -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. 60 + 72x + 5x = 2 + -5x + 5x Combine like terms: 72x + 5x = 77x 60 + 77x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 60 + 77x = 2 + 0 60 + 77x = 2 Add '-60' to each side of the equation. 60 + -60 + 77x = 2 + -60 Combine like terms: 60 + -60 = 0 0 + 77x = 2 + -60 77x = 2 + -60 Combine like terms: 2 + -60 = -58 77x = -58 Divide each side by '77'. x = -0.7532467532 Simplifying x = -0.7532467532
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