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Simplifying 4(x + -5) + -1(4x + 2) = 4(5x + 4) Reorder the terms: 4(-5 + x) + -1(4x + 2) = 4(5x + 4) (-5 * 4 + x * 4) + -1(4x + 2) = 4(5x + 4) (-20 + 4x) + -1(4x + 2) = 4(5x + 4) Reorder the terms: -20 + 4x + -1(2 + 4x) = 4(5x + 4) -20 + 4x + (2 * -1 + 4x * -1) = 4(5x + 4) -20 + 4x + (-2 + -4x) = 4(5x + 4) Reorder the terms: -20 + -2 + 4x + -4x = 4(5x + 4) Combine like terms: -20 + -2 = -22 -22 + 4x + -4x = 4(5x + 4) Combine like terms: 4x + -4x = 0 -22 + 0 = 4(5x + 4) -22 = 4(5x + 4) Reorder the terms: -22 = 4(4 + 5x) -22 = (4 * 4 + 5x * 4) -22 = (16 + 20x) Solving -22 = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -22 + -20x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 -22 + -20x = 16 + 0 -22 + -20x = 16 Add '22' to each side of the equation. -22 + 22 + -20x = 16 + 22 Combine like terms: -22 + 22 = 0 0 + -20x = 16 + 22 -20x = 16 + 22 Combine like terms: 16 + 22 = 38 -20x = 38 Divide each side by '-20'. x = -1.9 Simplifying x = -1.9
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