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Simplifying -4(x + -5) = 8(x + -5) Reorder the terms: -4(-5 + x) = 8(x + -5) (-5 * -4 + x * -4) = 8(x + -5) (20 + -4x) = 8(x + -5) Reorder the terms: 20 + -4x = 8(-5 + x) 20 + -4x = (-5 * 8 + x * 8) 20 + -4x = (-40 + 8x) Solving 20 + -4x = -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 + -4x + -8x = -40 + 8x + -8x Combine like terms: -4x + -8x = -12x 20 + -12x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -12x = -40 + 0 20 + -12x = -40 Add '-20' to each side of the equation. 20 + -20 + -12x = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = -40 + -20 -12x = -40 + -20 Combine like terms: -40 + -20 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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