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Simplifying 4(x + -1) + -5(4x + 5) = 20 Reorder the terms: 4(-1 + x) + -5(4x + 5) = 20 (-1 * 4 + x * 4) + -5(4x + 5) = 20 (-4 + 4x) + -5(4x + 5) = 20 Reorder the terms: -4 + 4x + -5(5 + 4x) = 20 -4 + 4x + (5 * -5 + 4x * -5) = 20 -4 + 4x + (-25 + -20x) = 20 Reorder the terms: -4 + -25 + 4x + -20x = 20 Combine like terms: -4 + -25 = -29 -29 + 4x + -20x = 20 Combine like terms: 4x + -20x = -16x -29 + -16x = 20 Solving -29 + -16x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -16x = 20 + 29 Combine like terms: -29 + 29 = 0 0 + -16x = 20 + 29 -16x = 20 + 29 Combine like terms: 20 + 29 = 49 -16x = 49 Divide each side by '-16'. x = -3.0625 Simplifying x = -3.0625
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