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Simplifying -12(2x + -4) = 5(4x + -8) Reorder the terms: -12(-4 + 2x) = 5(4x + -8) (-4 * -12 + 2x * -12) = 5(4x + -8) (48 + -24x) = 5(4x + -8) Reorder the terms: 48 + -24x = 5(-8 + 4x) 48 + -24x = (-8 * 5 + 4x * 5) 48 + -24x = (-40 + 20x) Solving 48 + -24x = -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. 48 + -24x + -20x = -40 + 20x + -20x Combine like terms: -24x + -20x = -44x 48 + -44x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 48 + -44x = -40 + 0 48 + -44x = -40 Add '-48' to each side of the equation. 48 + -48 + -44x = -40 + -48 Combine like terms: 48 + -48 = 0 0 + -44x = -40 + -48 -44x = -40 + -48 Combine like terms: -40 + -48 = -88 -44x = -88 Divide each side by '-44'. x = 2 Simplifying x = 2
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