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Simplifying 10(x + 8) = 5(4x + -8) Reorder the terms: 10(8 + x) = 5(4x + -8) (8 * 10 + x * 10) = 5(4x + -8) (80 + 10x) = 5(4x + -8) Reorder the terms: 80 + 10x = 5(-8 + 4x) 80 + 10x = (-8 * 5 + 4x * 5) 80 + 10x = (-40 + 20x) Solving 80 + 10x = -40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 80 + 10x + -20x = -40 + 20x + -20x Combine like terms: 10x + -20x = -10x 80 + -10x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 80 + -10x = -40 + 0 80 + -10x = -40 Add '-80' to each side of the equation. 80 + -80 + -10x = -40 + -80 Combine like terms: 80 + -80 = 0 0 + -10x = -40 + -80 -10x = -40 + -80 Combine like terms: -40 + -80 = -120 -10x = -120 Divide each side by '-10'. x = 12 Simplifying x = 12
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