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Simplifying 9(4x + 2) = 5(6x + -2) Reorder the terms: 9(2 + 4x) = 5(6x + -2) (2 * 9 + 4x * 9) = 5(6x + -2) (18 + 36x) = 5(6x + -2) Reorder the terms: 18 + 36x = 5(-2 + 6x) 18 + 36x = (-2 * 5 + 6x * 5) 18 + 36x = (-10 + 30x) Solving 18 + 36x = -10 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 18 + 36x + -30x = -10 + 30x + -30x Combine like terms: 36x + -30x = 6x 18 + 6x = -10 + 30x + -30x Combine like terms: 30x + -30x = 0 18 + 6x = -10 + 0 18 + 6x = -10 Add '-18' to each side of the equation. 18 + -18 + 6x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -10 + -18 6x = -10 + -18 Combine like terms: -10 + -18 = -28 6x = -28 Divide each side by '6'. x = -4.666666667 Simplifying x = -4.666666667
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