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Simplifying -40 + 5x = 5x + -8(-2x + -5) Reorder the terms: -40 + 5x = 5x + -8(-5 + -2x) -40 + 5x = 5x + (-5 * -8 + -2x * -8) -40 + 5x = 5x + (40 + 16x) Reorder the terms: -40 + 5x = 40 + 5x + 16x Combine like terms: 5x + 16x = 21x -40 + 5x = 40 + 21x Solving -40 + 5x = 40 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -40 + 5x + -21x = 40 + 21x + -21x Combine like terms: 5x + -21x = -16x -40 + -16x = 40 + 21x + -21x Combine like terms: 21x + -21x = 0 -40 + -16x = 40 + 0 -40 + -16x = 40 Add '40' to each side of the equation. -40 + 40 + -16x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -16x = 40 + 40 -16x = 40 + 40 Combine like terms: 40 + 40 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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