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Simplifying -47 = 5(1 + 6x) + 4(5x + 2) -47 = (1 * 5 + 6x * 5) + 4(5x + 2) -47 = (5 + 30x) + 4(5x + 2) Reorder the terms: -47 = 5 + 30x + 4(2 + 5x) -47 = 5 + 30x + (2 * 4 + 5x * 4) -47 = 5 + 30x + (8 + 20x) Reorder the terms: -47 = 5 + 8 + 30x + 20x Combine like terms: 5 + 8 = 13 -47 = 13 + 30x + 20x Combine like terms: 30x + 20x = 50x -47 = 13 + 50x Solving -47 = 13 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -47 + -50x = 13 + 50x + -50x Combine like terms: 50x + -50x = 0 -47 + -50x = 13 + 0 -47 + -50x = 13 Add '47' to each side of the equation. -47 + 47 + -50x = 13 + 47 Combine like terms: -47 + 47 = 0 0 + -50x = 13 + 47 -50x = 13 + 47 Combine like terms: 13 + 47 = 60 -50x = 60 Divide each side by '-50'. x = -1.2 Simplifying x = -1.2
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