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Simplifying 8(2x + -5) + -5(2 + -1x) = -4x Reorder the terms: 8(-5 + 2x) + -5(2 + -1x) = -4x (-5 * 8 + 2x * 8) + -5(2 + -1x) = -4x (-40 + 16x) + -5(2 + -1x) = -4x -40 + 16x + (2 * -5 + -1x * -5) = -4x -40 + 16x + (-10 + 5x) = -4x Reorder the terms: -40 + -10 + 16x + 5x = -4x Combine like terms: -40 + -10 = -50 -50 + 16x + 5x = -4x Combine like terms: 16x + 5x = 21x -50 + 21x = -4x Solving -50 + 21x = -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. -50 + 21x + 4x = -4x + 4x Combine like terms: 21x + 4x = 25x -50 + 25x = -4x + 4x Combine like terms: -4x + 4x = 0 -50 + 25x = 0 Add '50' to each side of the equation. -50 + 50 + 25x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 25x = 0 + 50 25x = 0 + 50 Combine like terms: 0 + 50 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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