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Simplifying 7(x + 2) = 4(2 + -5x) + -27x Reorder the terms: 7(2 + x) = 4(2 + -5x) + -27x (2 * 7 + x * 7) = 4(2 + -5x) + -27x (14 + 7x) = 4(2 + -5x) + -27x 14 + 7x = (2 * 4 + -5x * 4) + -27x 14 + 7x = (8 + -20x) + -27x Combine like terms: -20x + -27x = -47x 14 + 7x = 8 + -47x Solving 14 + 7x = 8 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. 14 + 7x + 47x = 8 + -47x + 47x Combine like terms: 7x + 47x = 54x 14 + 54x = 8 + -47x + 47x Combine like terms: -47x + 47x = 0 14 + 54x = 8 + 0 14 + 54x = 8 Add '-14' to each side of the equation. 14 + -14 + 54x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 54x = 8 + -14 54x = 8 + -14 Combine like terms: 8 + -14 = -6 54x = -6 Divide each side by '54'. x = -0.1111111111 Simplifying x = -0.1111111111
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