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Simplifying 4(-10 + 8x) = 10x + -5(9x + 8) (-10 * 4 + 8x * 4) = 10x + -5(9x + 8) (-40 + 32x) = 10x + -5(9x + 8) Reorder the terms: -40 + 32x = 10x + -5(8 + 9x) -40 + 32x = 10x + (8 * -5 + 9x * -5) -40 + 32x = 10x + (-40 + -45x) Reorder the terms: -40 + 32x = -40 + 10x + -45x Combine like terms: 10x + -45x = -35x -40 + 32x = -40 + -35x Add '40' to each side of the equation. -40 + 40 + 32x = -40 + 40 + -35x Combine like terms: -40 + 40 = 0 0 + 32x = -40 + 40 + -35x 32x = -40 + 40 + -35x Combine like terms: -40 + 40 = 0 32x = 0 + -35x 32x = -35x Solving 32x = -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 32x + 35x = -35x + 35x Combine like terms: 32x + 35x = 67x 67x = -35x + 35x Combine like terms: -35x + 35x = 0 67x = 0 Divide each side by '67'. x = 0 Simplifying x = 0
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