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Simplifying 4(9x + 2) = 2(3x + 5) Reorder the terms: 4(2 + 9x) = 2(3x + 5) (2 * 4 + 9x * 4) = 2(3x + 5) (8 + 36x) = 2(3x + 5) Reorder the terms: 8 + 36x = 2(5 + 3x) 8 + 36x = (5 * 2 + 3x * 2) 8 + 36x = (10 + 6x) Solving 8 + 36x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 36x + -6x = 10 + 6x + -6x Combine like terms: 36x + -6x = 30x 8 + 30x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 30x = 10 + 0 8 + 30x = 10 Add '-8' to each side of the equation. 8 + -8 + 30x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 30x = 10 + -8 30x = 10 + -8 Combine like terms: 10 + -8 = 2 30x = 2 Divide each side by '30'. x = 0.06666666667 Simplifying x = 0.06666666667
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