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Simplifying 4(2 + 3x) = 5(4x + -8) (2 * 4 + 3x * 4) = 5(4x + -8) (8 + 12x) = 5(4x + -8) Reorder the terms: 8 + 12x = 5(-8 + 4x) 8 + 12x = (-8 * 5 + 4x * 5) 8 + 12x = (-40 + 20x) Solving 8 + 12x = -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. 8 + 12x + -20x = -40 + 20x + -20x Combine like terms: 12x + -20x = -8x 8 + -8x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + -8x = -40 + 0 8 + -8x = -40 Add '-8' to each side of the equation. 8 + -8 + -8x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -40 + -8 -8x = -40 + -8 Combine like terms: -40 + -8 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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