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Simplifying -5(x + -4) = 4(-2x + -10) Reorder the terms: -5(-4 + x) = 4(-2x + -10) (-4 * -5 + x * -5) = 4(-2x + -10) (20 + -5x) = 4(-2x + -10) Reorder the terms: 20 + -5x = 4(-10 + -2x) 20 + -5x = (-10 * 4 + -2x * 4) 20 + -5x = (-40 + -8x) Solving 20 + -5x = -40 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + -5x + 8x = -40 + -8x + 8x Combine like terms: -5x + 8x = 3x 20 + 3x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 3x = -40 + 0 20 + 3x = -40 Add '-20' to each side of the equation. 20 + -20 + 3x = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = -40 + -20 3x = -40 + -20 Combine like terms: -40 + -20 = -60 3x = -60 Divide each side by '3'. x = -20 Simplifying x = -20
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