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Simplifying -5(x + -4) + -4(4x + 1) = -5 Reorder the terms: -5(-4 + x) + -4(4x + 1) = -5 (-4 * -5 + x * -5) + -4(4x + 1) = -5 (20 + -5x) + -4(4x + 1) = -5 Reorder the terms: 20 + -5x + -4(1 + 4x) = -5 20 + -5x + (1 * -4 + 4x * -4) = -5 20 + -5x + (-4 + -16x) = -5 Reorder the terms: 20 + -4 + -5x + -16x = -5 Combine like terms: 20 + -4 = 16 16 + -5x + -16x = -5 Combine like terms: -5x + -16x = -21x 16 + -21x = -5 Solving 16 + -21x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -21x = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -21x = -5 + -16 -21x = -5 + -16 Combine like terms: -5 + -16 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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