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Simplifying 6(4x + 5) = 2(2x + -5) Reorder the terms: 6(5 + 4x) = 2(2x + -5) (5 * 6 + 4x * 6) = 2(2x + -5) (30 + 24x) = 2(2x + -5) Reorder the terms: 30 + 24x = 2(-5 + 2x) 30 + 24x = (-5 * 2 + 2x * 2) 30 + 24x = (-10 + 4x) Solving 30 + 24x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + 24x + -4x = -10 + 4x + -4x Combine like terms: 24x + -4x = 20x 30 + 20x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 20x = -10 + 0 30 + 20x = -10 Add '-30' to each side of the equation. 30 + -30 + 20x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 20x = -10 + -30 20x = -10 + -30 Combine like terms: -10 + -30 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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