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Simplifying 6(6x + 5) = 5(4x + -4) Reorder the terms: 6(5 + 6x) = 5(4x + -4) (5 * 6 + 6x * 6) = 5(4x + -4) (30 + 36x) = 5(4x + -4) Reorder the terms: 30 + 36x = 5(-4 + 4x) 30 + 36x = (-4 * 5 + 4x * 5) 30 + 36x = (-20 + 20x) Solving 30 + 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. 30 + 36x + -20x = -20 + 20x + -20x Combine like terms: 36x + -20x = 16x 30 + 16x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + 16x = -20 + 0 30 + 16x = -20 Add '-30' to each side of the equation. 30 + -30 + 16x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 16x = -20 + -30 16x = -20 + -30 Combine like terms: -20 + -30 = -50 16x = -50 Divide each side by '16'. x = -3.125 Simplifying x = -3.125
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