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Simplifying 6(5 + -4x) = -4(5x + 11) (5 * 6 + -4x * 6) = -4(5x + 11) (30 + -24x) = -4(5x + 11) Reorder the terms: 30 + -24x = -4(11 + 5x) 30 + -24x = (11 * -4 + 5x * -4) 30 + -24x = (-44 + -20x) Solving 30 + -24x = -44 + -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. 30 + -24x + 20x = -44 + -20x + 20x Combine like terms: -24x + 20x = -4x 30 + -4x = -44 + -20x + 20x Combine like terms: -20x + 20x = 0 30 + -4x = -44 + 0 30 + -4x = -44 Add '-30' to each side of the equation. 30 + -30 + -4x = -44 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = -44 + -30 -4x = -44 + -30 Combine like terms: -44 + -30 = -74 -4x = -74 Divide each side by '-4'. x = 18.5 Simplifying x = 18.5
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