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Simplifying 4(2x + -10) = 5(x + -8) Reorder the terms: 4(-10 + 2x) = 5(x + -8) (-10 * 4 + 2x * 4) = 5(x + -8) (-40 + 8x) = 5(x + -8) Reorder the terms: -40 + 8x = 5(-8 + x) -40 + 8x = (-8 * 5 + x * 5) -40 + 8x = (-40 + 5x) Add '40' to each side of the equation. -40 + 40 + 8x = -40 + 40 + 5x Combine like terms: -40 + 40 = 0 0 + 8x = -40 + 40 + 5x 8x = -40 + 40 + 5x Combine like terms: -40 + 40 = 0 8x = 0 + 5x 8x = 5x Solving 8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x 3x = 5x + -5x Combine like terms: 5x + -5x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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