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Simplifying 6(6x + 5) = 10(2x + -5) Reorder the terms: 6(5 + 6x) = 10(2x + -5) (5 * 6 + 6x * 6) = 10(2x + -5) (30 + 36x) = 10(2x + -5) Reorder the terms: 30 + 36x = 10(-5 + 2x) 30 + 36x = (-5 * 10 + 2x * 10) 30 + 36x = (-50 + 20x) Solving 30 + 36x = -50 + 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 = -50 + 20x + -20x Combine like terms: 36x + -20x = 16x 30 + 16x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + 16x = -50 + 0 30 + 16x = -50 Add '-30' to each side of the equation. 30 + -30 + 16x = -50 + -30 Combine like terms: 30 + -30 = 0 0 + 16x = -50 + -30 16x = -50 + -30 Combine like terms: -50 + -30 = -80 16x = -80 Divide each side by '16'. x = -5 Simplifying x = -5
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