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Simplifying -5(4x + -20) = -2(3 + 6x) Reorder the terms: -5(-20 + 4x) = -2(3 + 6x) (-20 * -5 + 4x * -5) = -2(3 + 6x) (100 + -20x) = -2(3 + 6x) 100 + -20x = (3 * -2 + 6x * -2) 100 + -20x = (-6 + -12x) Solving 100 + -20x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 100 + -20x + 12x = -6 + -12x + 12x Combine like terms: -20x + 12x = -8x 100 + -8x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 100 + -8x = -6 + 0 100 + -8x = -6 Add '-100' to each side of the equation. 100 + -100 + -8x = -6 + -100 Combine like terms: 100 + -100 = 0 0 + -8x = -6 + -100 -8x = -6 + -100 Combine like terms: -6 + -100 = -106 -8x = -106 Divide each side by '-8'. x = 13.25 Simplifying x = 13.25
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