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Simplifying -5(4x + 5 + 4(x + 1)) = 4x + 2 Reorder the terms: -5(4x + 5 + 4(1 + x)) = 4x + 2 -5(4x + 5 + (1 * 4 + x * 4)) = 4x + 2 -5(4x + 5 + (4 + 4x)) = 4x + 2 Reorder the terms: -5(5 + 4 + 4x + 4x) = 4x + 2 Combine like terms: 5 + 4 = 9 -5(9 + 4x + 4x) = 4x + 2 Combine like terms: 4x + 4x = 8x -5(9 + 8x) = 4x + 2 (9 * -5 + 8x * -5) = 4x + 2 (-45 + -40x) = 4x + 2 Reorder the terms: -45 + -40x = 2 + 4x Solving -45 + -40x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + -40x + -4x = 2 + 4x + -4x Combine like terms: -40x + -4x = -44x -45 + -44x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + -44x = 2 + 0 -45 + -44x = 2 Add '45' to each side of the equation. -45 + 45 + -44x = 2 + 45 Combine like terms: -45 + 45 = 0 0 + -44x = 2 + 45 -44x = 2 + 45 Combine like terms: 2 + 45 = 47 -44x = 47 Divide each side by '-44'. x = -1.068181818 Simplifying x = -1.068181818
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