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Simplifying -4(-5x + 6) = -5(4x + -12) Reorder the terms: -4(6 + -5x) = -5(4x + -12) (6 * -4 + -5x * -4) = -5(4x + -12) (-24 + 20x) = -5(4x + -12) Reorder the terms: -24 + 20x = -5(-12 + 4x) -24 + 20x = (-12 * -5 + 4x * -5) -24 + 20x = (60 + -20x) Solving -24 + 20x = 60 + -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. -24 + 20x + 20x = 60 + -20x + 20x Combine like terms: 20x + 20x = 40x -24 + 40x = 60 + -20x + 20x Combine like terms: -20x + 20x = 0 -24 + 40x = 60 + 0 -24 + 40x = 60 Add '24' to each side of the equation. -24 + 24 + 40x = 60 + 24 Combine like terms: -24 + 24 = 0 0 + 40x = 60 + 24 40x = 60 + 24 Combine like terms: 60 + 24 = 84 40x = 84 Divide each side by '40'. x = 2.1 Simplifying x = 2.1
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