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Simplifying 6(6x + -4) = 5(4x + -4) Reorder the terms: 6(-4 + 6x) = 5(4x + -4) (-4 * 6 + 6x * 6) = 5(4x + -4) (-24 + 36x) = 5(4x + -4) Reorder the terms: -24 + 36x = 5(-4 + 4x) -24 + 36x = (-4 * 5 + 4x * 5) -24 + 36x = (-20 + 20x) Solving -24 + 36x = -20 + 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 + 36x + -20x = -20 + 20x + -20x Combine like terms: 36x + -20x = 16x -24 + 16x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + 16x = -20 + 0 -24 + 16x = -20 Add '24' to each side of the equation. -24 + 24 + 16x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -20 + 24 16x = -20 + 24 Combine like terms: -20 + 24 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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