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Simplifying 6(4x + 5) = 2(20x + 7) Reorder the terms: 6(5 + 4x) = 2(20x + 7) (5 * 6 + 4x * 6) = 2(20x + 7) (30 + 24x) = 2(20x + 7) Reorder the terms: 30 + 24x = 2(7 + 20x) 30 + 24x = (7 * 2 + 20x * 2) 30 + 24x = (14 + 40x) Solving 30 + 24x = 14 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 30 + 24x + -40x = 14 + 40x + -40x Combine like terms: 24x + -40x = -16x 30 + -16x = 14 + 40x + -40x Combine like terms: 40x + -40x = 0 30 + -16x = 14 + 0 30 + -16x = 14 Add '-30' to each side of the equation. 30 + -30 + -16x = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = 14 + -30 -16x = 14 + -30 Combine like terms: 14 + -30 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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